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Finding the Fourth Proportional to 487,513.20, 731,269.80 and 171,929.10

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Solution

The fourth proportional to 487,513.20, 731,269.80 and 171,929.10 is: 257,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,513.20 : 731,269.80 = 171,929.10 : x
  2. Step 2: Convert to fraction form
    487,513.20/731,269.80 = 171,929.10/x
  3. Step 3: Cross multiply
    487,513.20x = 731,269.80 × 171,929.10
  4. Step 4: Simplify right side
    487,513.20x = 125,726,558,571.18
  5. Step 5: Solve for x
    x = 125,726,558,571.18/487,513.20
  6. Step 6: Final answer
    x = 257,893.65

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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.