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Finding the Fourth Proportional to 506,142.86, 698,443.90 and 291,248.24

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Solution

The fourth proportional to 506,142.86, 698,443.90 and 291,248.24 is: 401,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,142.86 : 698,443.90 = 291,248.24 : x
  2. Step 2: Convert to fraction form
    506,142.86/698,443.90 = 291,248.24/x
  3. Step 3: Cross multiply
    506,142.86x = 698,443.90 × 291,248.24
  4. Step 4: Simplify right side
    506,142.86x = 203,420,552,393.40
  5. Step 5: Solve for x
    x = 203,420,552,393.40/506,142.86
  6. Step 6: Final answer
    x = 401,903.44

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.