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Finding the Fourth Proportional to 378,461.13, 567,691.57 and 259,772.64

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Solution

The fourth proportional to 378,461.13, 567,691.57 and 259,772.64 is: 389,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,461.13 : 567,691.57 = 259,772.64 : x
  2. Step 2: Convert to fraction form
    378,461.13/567,691.57 = 259,772.64/x
  3. Step 3: Cross multiply
    378,461.13x = 567,691.57 × 259,772.64
  4. Step 4: Simplify right side
    378,461.13x = 147,470,736,040.52
  5. Step 5: Solve for x
    x = 147,470,736,040.52/378,461.13
  6. Step 6: Final answer
    x = 389,658.87

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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.