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Finding the Fourth Proportional to 392,012.80, 587,414.40 and 291,702.40

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Solution

The fourth proportional to 392,012.80, 587,414.40 and 291,702.40 is: 437,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,012.80 : 587,414.40 = 291,702.40 : x
  2. Step 2: Convert to fraction form
    392,012.80/587,414.40 = 291,702.40/x
  3. Step 3: Cross multiply
    392,012.80x = 587,414.40 × 291,702.40
  4. Step 4: Simplify right side
    392,012.80x = 171,350,190,274.56
  5. Step 5: Solve for x
    x = 171,350,190,274.56/392,012.80
  6. Step 6: Final answer
    x = 437,103.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.