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Finding the Fourth Proportional to 388,141.68, 582,212.46 and 107,658.92

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Solution

The fourth proportional to 388,141.68, 582,212.46 and 107,658.92 is: 161,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,141.68 : 582,212.46 = 107,658.92 : x
  2. Step 2: Convert to fraction form
    388,141.68/582,212.46 = 107,658.92/x
  3. Step 3: Cross multiply
    388,141.68x = 582,212.46 × 107,658.92
  4. Step 4: Simplify right side
    388,141.68x = 62,680,364,654.14
  5. Step 5: Solve for x
    x = 62,680,364,654.14/388,141.68
  6. Step 6: Final answer
    x = 161,488.36

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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.