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Finding the Fourth Proportional to 266,438.16, 399,854.40 and 126,197.20

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Solution

The fourth proportional to 266,438.16, 399,854.40 and 126,197.20 is: 189,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,438.16 : 399,854.40 = 126,197.20 : x
  2. Step 2: Convert to fraction form
    266,438.16/399,854.40 = 126,197.20/x
  3. Step 3: Cross multiply
    266,438.16x = 399,854.40 × 126,197.20
  4. Step 4: Simplify right side
    266,438.16x = 50,460,505,687.68
  5. Step 5: Solve for x
    x = 50,460,505,687.68/266,438.16
  6. Step 6: Final answer
    x = 189,389.18

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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.