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Finding the Fourth Proportional to 765,659, 1,148,400.86 and 204,737.24

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Solution

The fourth proportional to 765,659, 1,148,400.86 and 204,737.24 is: 307,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,659 : 1,148,400.86 = 204,737.24 : x
  2. Step 2: Convert to fraction form
    765,659/1,148,400.86 = 204,737.24/x
  3. Step 3: Cross multiply
    765,659x = 1,148,400.86 × 204,737.24
  4. Step 4: Simplify right side
    765,659x = 235,120,422,490.03
  5. Step 5: Solve for x
    x = 235,120,422,490.03/765,659
  6. Step 6: Final answer
    x = 307,082.43

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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.