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Finding the Fourth Proportional to 409,127.52, 613,841.94 and 172,445.52

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Solution

The fourth proportional to 409,127.52, 613,841.94 and 172,445.52 is: 258,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,127.52 : 613,841.94 = 172,445.52 : x
  2. Step 2: Convert to fraction form
    409,127.52/613,841.94 = 172,445.52/x
  3. Step 3: Cross multiply
    409,127.52x = 613,841.94 × 172,445.52
  4. Step 4: Simplify right side
    409,127.52x = 105,854,292,541.11
  5. Step 5: Solve for x
    x = 105,854,292,541.11/409,127.52
  6. Step 6: Final answer
    x = 258,731.78

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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.