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Finding the Fourth Proportional to 266,497.91, 399,633.07 and 154,255.60

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Solution

The fourth proportional to 266,497.91, 399,633.07 and 154,255.60 is: 231,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,497.91 : 399,633.07 = 154,255.60 : x
  2. Step 2: Convert to fraction form
    266,497.91/399,633.07 = 154,255.60/x
  3. Step 3: Cross multiply
    266,497.91x = 399,633.07 × 154,255.60
  4. Step 4: Simplify right side
    266,497.91x = 61,645,640,500.11
  5. Step 5: Solve for x
    x = 61,645,640,500.11/266,497.91
  6. Step 6: Final answer
    x = 231,317.54

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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.