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Finding the Fourth Proportional to 487,045.92, 730,641.78 and 171,447.24

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Solution

The fourth proportional to 487,045.92, 730,641.78 and 171,447.24 is: 257,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,045.92 : 730,641.78 = 171,447.24 : x
  2. Step 2: Convert to fraction form
    487,045.92/730,641.78 = 171,447.24/x
  3. Step 3: Cross multiply
    487,045.92x = 730,641.78 × 171,447.24
  4. Step 4: Simplify right side
    487,045.92x = 125,266,516,609.69
  5. Step 5: Solve for x
    x = 125,266,516,609.69/487,045.92
  6. Step 6: Final answer
    x = 257,196.52

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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.