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Finding the Fourth Proportional to 443,382.02, 665,171.43 and 127,814.30

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Solution

The fourth proportional to 443,382.02, 665,171.43 and 127,814.30 is: 191,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,382.02 : 665,171.43 = 127,814.30 : x
  2. Step 2: Convert to fraction form
    443,382.02/665,171.43 = 127,814.30/x
  3. Step 3: Cross multiply
    443,382.02x = 665,171.43 × 127,814.30
  4. Step 4: Simplify right side
    443,382.02x = 85,018,420,705.45
  5. Step 5: Solve for x
    x = 85,018,420,705.45/443,382.02
  6. Step 6: Final answer
    x = 191,749.82

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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.