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Finding the Fourth Proportional to 392,976.52, 542,307.60 and 214,128.52

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Solution

The fourth proportional to 392,976.52, 542,307.60 and 214,128.52 is: 295,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,976.52 : 542,307.60 = 214,128.52 : x
  2. Step 2: Convert to fraction form
    392,976.52/542,307.60 = 214,128.52/x
  3. Step 3: Cross multiply
    392,976.52x = 542,307.60 × 214,128.52
  4. Step 4: Simplify right side
    392,976.52x = 116,123,523,772.75
  5. Step 5: Solve for x
    x = 116,123,523,772.75/392,976.52
  6. Step 6: Final answer
    x = 295,497.36

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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.