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Finding the Fourth Proportional to 266,832.50, 400,405.90 and 98,471.30

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Solution

The fourth proportional to 266,832.50, 400,405.90 and 98,471.30 is: 147,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,832.50 : 400,405.90 = 98,471.30 : x
  2. Step 2: Convert to fraction form
    266,832.50/400,405.90 = 98,471.30/x
  3. Step 3: Cross multiply
    266,832.50x = 400,405.90 × 98,471.30
  4. Step 4: Simplify right side
    266,832.50x = 39,428,488,253.48
  5. Step 5: Solve for x
    x = 39,428,488,253.48/266,832.50
  6. Step 6: Final answer
    x = 147,764.94

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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.