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Finding the Fourth Proportional to 515,182.32, 772,995.96 and 278,691.48

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Solution

The fourth proportional to 515,182.32, 772,995.96 and 278,691.48 is: 418,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,182.32 : 772,995.96 = 278,691.48 : x
  2. Step 2: Convert to fraction form
    515,182.32/772,995.96 = 278,691.48/x
  3. Step 3: Cross multiply
    515,182.32x = 772,995.96 × 278,691.48
  4. Step 4: Simplify right side
    515,182.32x = 215,427,388,126.42
  5. Step 5: Solve for x
    x = 215,427,388,126.42/515,182.32
  6. Step 6: Final answer
    x = 418,157.57

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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.