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Finding the Fourth Proportional to 284,599.11, 392,713.34 and 157,267.11

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Solution

The fourth proportional to 284,599.11, 392,713.34 and 157,267.11 is: 217,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,599.11 : 392,713.34 = 157,267.11 : x
  2. Step 2: Convert to fraction form
    284,599.11/392,713.34 = 157,267.11/x
  3. Step 3: Cross multiply
    284,599.11x = 392,713.34 × 157,267.11
  4. Step 4: Simplify right side
    284,599.11x = 61,760,891,253.91
  5. Step 5: Solve for x
    x = 61,760,891,253.91/284,599.11
  6. Step 6: Final answer
    x = 217,010.13

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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.