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Finding the Fourth Proportional to 310,778.72, 428,753.17 and 174,781.47

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Solution

The fourth proportional to 310,778.72, 428,753.17 and 174,781.47 is: 241,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,778.72 : 428,753.17 = 174,781.47 : x
  2. Step 2: Convert to fraction form
    310,778.72/428,753.17 = 174,781.47/x
  3. Step 3: Cross multiply
    310,778.72x = 428,753.17 × 174,781.47
  4. Step 4: Simplify right side
    310,778.72x = 74,938,108,882.81
  5. Step 5: Solve for x
    x = 74,938,108,882.81/310,778.72
  6. Step 6: Final answer
    x = 241,130.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.