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Finding the Fourth Proportional to 512,704.64, 767,542.40 and 378,695.04

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Solution

The fourth proportional to 512,704.64, 767,542.40 and 378,695.04 is: 566,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,704.64 : 767,542.40 = 378,695.04 : x
  2. Step 2: Convert to fraction form
    512,704.64/767,542.40 = 378,695.04/x
  3. Step 3: Cross multiply
    512,704.64x = 767,542.40 × 378,695.04
  4. Step 4: Simplify right side
    512,704.64x = 290,664,499,869.70
  5. Step 5: Solve for x
    x = 290,664,499,869.70/512,704.64
  6. Step 6: Final answer
    x = 566,923.87

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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.