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Finding the Fourth Proportional to 392,002.80, 588,020.16 and 186,731.94

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Solution

The fourth proportional to 392,002.80, 588,020.16 and 186,731.94 is: 280,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,002.80 : 588,020.16 = 186,731.94 : x
  2. Step 2: Convert to fraction form
    392,002.80/588,020.16 = 186,731.94/x
  3. Step 3: Cross multiply
    392,002.80x = 588,020.16 × 186,731.94
  4. Step 4: Simplify right side
    392,002.80x = 109,802,145,235.91
  5. Step 5: Solve for x
    x = 109,802,145,235.91/392,002.80
  6. Step 6: Final answer
    x = 280,105.51

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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.