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Finding the Fourth Proportional to 443,406.10, 665,207.43 and 127,838.38

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Solution

The fourth proportional to 443,406.10, 665,207.43 and 127,838.38 is: 191,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,406.10 : 665,207.43 = 127,838.38 : x
  2. Step 2: Convert to fraction form
    443,406.10/665,207.43 = 127,838.38/x
  3. Step 3: Cross multiply
    443,406.10x = 665,207.43 × 127,838.38
  4. Step 4: Simplify right side
    443,406.10x = 85,039,040,215.16
  5. Step 5: Solve for x
    x = 85,039,040,215.16/443,406.10
  6. Step 6: Final answer
    x = 191,785.91

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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.