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Finding the Fourth Proportional to 431,593.32, 647,789.28 and 218,511

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Solution

The fourth proportional to 431,593.32, 647,789.28 and 218,511 is: 327,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,593.32 : 647,789.28 = 218,511 : x
  2. Step 2: Convert to fraction form
    431,593.32/647,789.28 = 218,511/x
  3. Step 3: Cross multiply
    431,593.32x = 647,789.28 × 218,511
  4. Step 4: Simplify right side
    431,593.32x = 141,549,083,362.08
  5. Step 5: Solve for x
    x = 141,549,083,362.08/431,593.32
  6. Step 6: Final answer
    x = 327,968.66

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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.