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Finding the Fourth Proportional to 284,470.62, 392,554.95 and 157,121.58

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Solution

The fourth proportional to 284,470.62, 392,554.95 and 157,121.58 is: 216,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,470.62 : 392,554.95 = 157,121.58 : x
  2. Step 2: Convert to fraction form
    284,470.62/392,554.95 = 157,121.58/x
  3. Step 3: Cross multiply
    284,470.62x = 392,554.95 × 157,121.58
  4. Step 4: Simplify right side
    284,470.62x = 61,678,853,980.82
  5. Step 5: Solve for x
    x = 61,678,853,980.82/284,470.62
  6. Step 6: Final answer
    x = 216,819.77

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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.