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Finding the Fourth Proportional to 443,471.91, 665,225.01 and 155,227.74

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Solution

The fourth proportional to 443,471.91, 665,225.01 and 155,227.74 is: 232,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,471.91 : 665,225.01 = 155,227.74 : x
  2. Step 2: Convert to fraction form
    443,471.91/665,225.01 = 155,227.74/x
  3. Step 3: Cross multiply
    443,471.91x = 665,225.01 × 155,227.74
  4. Step 4: Simplify right side
    443,471.91x = 103,261,374,893.78
  5. Step 5: Solve for x
    x = 103,261,374,893.78/443,471.91
  6. Step 6: Final answer
    x = 232,847.61

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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.