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Finding the Fourth Proportional to 411,951.39, 617,929.14 and 145,712.15

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Solution

The fourth proportional to 411,951.39, 617,929.14 and 145,712.15 is: 218,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,951.39 : 617,929.14 = 145,712.15 : x
  2. Step 2: Convert to fraction form
    411,951.39/617,929.14 = 145,712.15/x
  3. Step 3: Cross multiply
    411,951.39x = 617,929.14 × 145,712.15
  4. Step 4: Simplify right side
    411,951.39x = 90,039,780,447.41
  5. Step 5: Solve for x
    x = 90,039,780,447.41/411,951.39
  6. Step 6: Final answer
    x = 218,568.94

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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.