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Finding the Fourth Proportional to 266,144.26, 399,424.95 and 185,658.71

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Solution

The fourth proportional to 266,144.26, 399,424.95 and 185,658.71 is: 278,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,144.26 : 399,424.95 = 185,658.71 : x
  2. Step 2: Convert to fraction form
    266,144.26/399,424.95 = 185,658.71/x
  3. Step 3: Cross multiply
    266,144.26x = 399,424.95 × 185,658.71
  4. Step 4: Simplify right side
    266,144.26x = 74,156,720,958.81
  5. Step 5: Solve for x
    x = 74,156,720,958.81/266,144.26
  6. Step 6: Final answer
    x = 278,633.55

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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.