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Finding the Fourth Proportional to 266,406.32, 399,624.88 and 100,195.76

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Solution

The fourth proportional to 266,406.32, 399,624.88 and 100,195.76 is: 150,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,406.32 : 399,624.88 = 100,195.76 : x
  2. Step 2: Convert to fraction form
    266,406.32/399,624.88 = 100,195.76/x
  3. Step 3: Cross multiply
    266,406.32x = 399,624.88 × 100,195.76
  4. Step 4: Simplify right side
    266,406.32x = 40,040,718,566.51
  5. Step 5: Solve for x
    x = 40,040,718,566.51/266,406.32
  6. Step 6: Final answer
    x = 150,299.43

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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.