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Finding the Fourth Proportional to 392,447.05, 588,065.78 and 292,136.65

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Solution

The fourth proportional to 392,447.05, 588,065.78 and 292,136.65 is: 437,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,447.05 : 588,065.78 = 292,136.65 : x
  2. Step 2: Convert to fraction form
    392,447.05/588,065.78 = 292,136.65/x
  3. Step 3: Cross multiply
    392,447.05x = 588,065.78 × 292,136.65
  4. Step 4: Simplify right side
    392,447.05x = 171,795,565,488.15
  5. Step 5: Solve for x
    x = 171,795,565,488.15/392,447.05
  6. Step 6: Final answer
    x = 437,754.76

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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.