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Finding the Fourth Proportional to 487,689.48, 731,460.31 and 132,731.16

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Solution

The fourth proportional to 487,689.48, 731,460.31 and 132,731.16 is: 199,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,689.48 : 731,460.31 = 132,731.16 : x
  2. Step 2: Convert to fraction form
    487,689.48/731,460.31 = 132,731.16/x
  3. Step 3: Cross multiply
    487,689.48x = 731,460.31 × 132,731.16
  4. Step 4: Simplify right side
    487,689.48x = 97,087,575,440.26
  5. Step 5: Solve for x
    x = 97,087,575,440.26/487,689.48
  6. Step 6: Final answer
    x = 199,076.62

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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.