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Finding the Fourth Proportional to 442,517.48, 663,593.21 and 138,810.33

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Solution

The fourth proportional to 442,517.48, 663,593.21 and 138,810.33 is: 208,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,517.48 : 663,593.21 = 138,810.33 : x
  2. Step 2: Convert to fraction form
    442,517.48/663,593.21 = 138,810.33/x
  3. Step 3: Cross multiply
    442,517.48x = 663,593.21 × 138,810.33
  4. Step 4: Simplify right side
    442,517.48x = 92,113,592,465.86
  5. Step 5: Solve for x
    x = 92,113,592,465.86/442,517.48
  6. Step 6: Final answer
    x = 208,158.09

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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.