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Finding the Fourth Proportional to 522,078.10, 783,117.15 and 242,142.10

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Solution

The fourth proportional to 522,078.10, 783,117.15 and 242,142.10 is: 363,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,078.10 : 783,117.15 = 242,142.10 : x
  2. Step 2: Convert to fraction form
    522,078.10/783,117.15 = 242,142.10/x
  3. Step 3: Cross multiply
    522,078.10x = 783,117.15 × 242,142.10
  4. Step 4: Simplify right side
    522,078.10x = 189,625,631,247.02
  5. Step 5: Solve for x
    x = 189,625,631,247.02/522,078.10
  6. Step 6: Final answer
    x = 363,213.15

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.