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Finding the Fourth Proportional to 266,032.71, 399,049.11 and 177,459.21

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Solution

The fourth proportional to 266,032.71, 399,049.11 and 177,459.21 is: 266,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,032.71 : 399,049.11 = 177,459.21 : x
  2. Step 2: Convert to fraction form
    266,032.71/399,049.11 = 177,459.21/x
  3. Step 3: Cross multiply
    266,032.71x = 399,049.11 × 177,459.21
  4. Step 4: Simplify right side
    266,032.71x = 70,814,939,811.80
  5. Step 5: Solve for x
    x = 70,814,939,811.80/266,032.71
  6. Step 6: Final answer
    x = 266,188.85

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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.