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Finding the Fourth Proportional to 643,693.52, 965,229.24 and 283,820.24

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Solution

The fourth proportional to 643,693.52, 965,229.24 and 283,820.24 is: 425,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,693.52 : 965,229.24 = 283,820.24 : x
  2. Step 2: Convert to fraction form
    643,693.52/965,229.24 = 283,820.24/x
  3. Step 3: Cross multiply
    643,693.52x = 965,229.24 × 283,820.24
  4. Step 4: Simplify right side
    643,693.52x = 273,951,594,551.82
  5. Step 5: Solve for x
    x = 273,951,594,551.82/643,693.52
  6. Step 6: Final answer
    x = 425,593.21

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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.