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Finding the Fourth Proportional to 392,311.60, 588,321.60 and 155,605.30

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Solution

The fourth proportional to 392,311.60, 588,321.60 and 155,605.30 is: 233,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,311.60 : 588,321.60 = 155,605.30 : x
  2. Step 2: Convert to fraction form
    392,311.60/588,321.60 = 155,605.30/x
  3. Step 3: Cross multiply
    392,311.60x = 588,321.60 × 155,605.30
  4. Step 4: Simplify right side
    392,311.60x = 91,545,959,064.48
  5. Step 5: Solve for x
    x = 91,545,959,064.48/392,311.60
  6. Step 6: Final answer
    x = 233,350.12

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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.