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Finding the Fourth Proportional to 284,079.26, 392,017.92 and 156,753.20

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Solution

The fourth proportional to 284,079.26, 392,017.92 and 156,753.20 is: 216,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,079.26 : 392,017.92 = 156,753.20 : x
  2. Step 2: Convert to fraction form
    284,079.26/392,017.92 = 156,753.20/x
  3. Step 3: Cross multiply
    284,079.26x = 392,017.92 × 156,753.20
  4. Step 4: Simplify right side
    284,079.26x = 61,450,063,417.34
  5. Step 5: Solve for x
    x = 61,450,063,417.34/284,079.26
  6. Step 6: Final answer
    x = 216,313.09

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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.