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Finding the Fourth Proportional to 392,045.34, 587,280.69 and 331,815.36

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Solution

The fourth proportional to 392,045.34, 587,280.69 and 331,815.36 is: 497,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,045.34 : 587,280.69 = 331,815.36 : x
  2. Step 2: Convert to fraction form
    392,045.34/587,280.69 = 331,815.36/x
  3. Step 3: Cross multiply
    392,045.34x = 587,280.69 × 331,815.36
  4. Step 4: Simplify right side
    392,045.34x = 194,868,753,573.40
  5. Step 5: Solve for x
    x = 194,868,753,573.40/392,045.34
  6. Step 6: Final answer
    x = 497,056.68

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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.