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Finding the Fourth Proportional to 487,825.92, 731,825.92 and 172,465.92

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Solution

The fourth proportional to 487,825.92, 731,825.92 and 172,465.92 is: 258,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,825.92 : 731,825.92 = 172,465.92 : x
  2. Step 2: Convert to fraction form
    487,825.92/731,825.92 = 172,465.92/x
  3. Step 3: Cross multiply
    487,825.92x = 731,825.92 × 172,465.92
  4. Step 4: Simplify right side
    487,825.92x = 126,215,030,572.65
  5. Step 5: Solve for x
    x = 126,215,030,572.65/487,825.92
  6. Step 6: Final answer
    x = 258,729.65

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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.