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Finding the Fourth Proportional to 443,451.80, 664,756.85 and 143,721.77

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Solution

The fourth proportional to 443,451.80, 664,756.85 and 143,721.77 is: 215,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,451.80 : 664,756.85 = 143,721.77 : x
  2. Step 2: Convert to fraction form
    443,451.80/664,756.85 = 143,721.77/x
  3. Step 3: Cross multiply
    443,451.80x = 664,756.85 × 143,721.77
  4. Step 4: Simplify right side
    443,451.80x = 95,540,027,059.23
  5. Step 5: Solve for x
    x = 95,540,027,059.23/443,451.80
  6. Step 6: Final answer
    x = 215,446.25

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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.