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Finding the Fourth Proportional to 284,456.61, 392,516.69 and 157,124.61

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Solution

The fourth proportional to 284,456.61, 392,516.69 and 157,124.61 is: 216,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,456.61 : 392,516.69 = 157,124.61 : x
  2. Step 2: Convert to fraction form
    284,456.61/392,516.69 = 157,124.61/x
  3. Step 3: Cross multiply
    284,456.61x = 392,516.69 × 157,124.61
  4. Step 4: Simplify right side
    284,456.61x = 61,674,031,049.12
  5. Step 5: Solve for x
    x = 61,674,031,049.12/284,456.61
  6. Step 6: Final answer
    x = 216,813.49

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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.