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Finding the Fourth Proportional to 443,400.02, 665,198.45 and 127,832.30

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Solution

The fourth proportional to 443,400.02, 665,198.45 and 127,832.30 is: 191,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,400.02 : 665,198.45 = 127,832.30 : x
  2. Step 2: Convert to fraction form
    443,400.02/665,198.45 = 127,832.30/x
  3. Step 3: Cross multiply
    443,400.02x = 665,198.45 × 127,832.30
  4. Step 4: Simplify right side
    443,400.02x = 85,033,847,819.94
  5. Step 5: Solve for x
    x = 85,033,847,819.94/443,400.02
  6. Step 6: Final answer
    x = 191,776.82

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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.