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Finding the Fourth Proportional to 442,256.80, 663,691.90 and 202,399.97

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Solution

The fourth proportional to 442,256.80, 663,691.90 and 202,399.97 is: 303,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,256.80 : 663,691.90 = 202,399.97 : x
  2. Step 2: Convert to fraction form
    442,256.80/663,691.90 = 202,399.97/x
  3. Step 3: Cross multiply
    442,256.80x = 663,691.90 × 202,399.97
  4. Step 4: Simplify right side
    442,256.80x = 134,331,220,649.24
  5. Step 5: Solve for x
    x = 134,331,220,649.24/442,256.80
  6. Step 6: Final answer
    x = 303,740.32

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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.