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Finding the Fourth Proportional to 284,292.78, 392,330.16 and 156,976.44

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Solution

The fourth proportional to 284,292.78, 392,330.16 and 156,976.44 is: 216,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,292.78 : 392,330.16 = 156,976.44 : x
  2. Step 2: Convert to fraction form
    284,292.78/392,330.16 = 156,976.44/x
  3. Step 3: Cross multiply
    284,292.78x = 392,330.16 × 156,976.44
  4. Step 4: Simplify right side
    284,292.78x = 61,586,591,821.43
  5. Step 5: Solve for x
    x = 61,586,591,821.43/284,292.78
  6. Step 6: Final answer
    x = 216,630.87

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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.