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Finding the Fourth Proportional to 443,565.20, 665,697.24 and 206,786

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Solution

The fourth proportional to 443,565.20, 665,697.24 and 206,786 is: 310,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,565.20 : 665,697.24 = 206,786 : x
  2. Step 2: Convert to fraction form
    443,565.20/665,697.24 = 206,786/x
  3. Step 3: Cross multiply
    443,565.20x = 665,697.24 × 206,786
  4. Step 4: Simplify right side
    443,565.20x = 137,656,869,470.64
  5. Step 5: Solve for x
    x = 137,656,869,470.64/443,565.20
  6. Step 6: Final answer
    x = 310,341.91

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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.