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Finding the Fourth Proportional to 284,273.14, 392,294.52 and 156,946

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Solution

The fourth proportional to 284,273.14, 392,294.52 and 156,946 is: 216,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,273.14 : 392,294.52 = 156,946 : x
  2. Step 2: Convert to fraction form
    284,273.14/392,294.52 = 156,946/x
  3. Step 3: Cross multiply
    284,273.14x = 392,294.52 × 156,946
  4. Step 4: Simplify right side
    284,273.14x = 61,569,055,735.92
  5. Step 5: Solve for x
    x = 61,569,055,735.92/284,273.14
  6. Step 6: Final answer
    x = 216,584.15

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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.