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Finding the Fourth Proportional to 443,442.28, 665,385.82 and 206,803.56

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Solution

The fourth proportional to 443,442.28, 665,385.82 and 206,803.56 is: 310,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,442.28 : 665,385.82 = 206,803.56 : x
  2. Step 2: Convert to fraction form
    443,442.28/665,385.82 = 206,803.56/x
  3. Step 3: Cross multiply
    443,442.28x = 665,385.82 × 206,803.56
  4. Step 4: Simplify right side
    443,442.28x = 137,604,156,349.52
  5. Step 5: Solve for x
    x = 137,604,156,349.52/443,442.28
  6. Step 6: Final answer
    x = 310,309.06

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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.