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Finding the Fourth Proportional to 506,142.60, 698,443.56 and 291,247.98

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Solution

The fourth proportional to 506,142.60, 698,443.56 and 291,247.98 is: 401,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,142.60 : 698,443.56 = 291,247.98 : x
  2. Step 2: Convert to fraction form
    506,142.60/698,443.56 = 291,247.98/x
  3. Step 3: Cross multiply
    506,142.60x = 698,443.56 × 291,247.98
  4. Step 4: Simplify right side
    506,142.60x = 203,420,275,994.01
  5. Step 5: Solve for x
    x = 203,420,275,994.01/506,142.60
  6. Step 6: Final answer
    x = 401,903.09

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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.