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Finding the Fourth Proportional to 284,142.39, 392,167.34 and 169,428.43

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Solution

The fourth proportional to 284,142.39, 392,167.34 and 169,428.43 is: 233,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,142.39 : 392,167.34 = 169,428.43 : x
  2. Step 2: Convert to fraction form
    284,142.39/392,167.34 = 169,428.43/x
  3. Step 3: Cross multiply
    284,142.39x = 392,167.34 × 169,428.43
  4. Step 4: Simplify right side
    284,142.39x = 66,444,296,713.48
  5. Step 5: Solve for x
    x = 66,444,296,713.48/284,142.39
  6. Step 6: Final answer
    x = 233,841.55

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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.