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Finding the Fourth Proportional to 266,143.26, 399,423.45 and 185,657.71

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Solution

The fourth proportional to 266,143.26, 399,423.45 and 185,657.71 is: 278,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,143.26 : 399,423.45 = 185,657.71 : x
  2. Step 2: Convert to fraction form
    266,143.26/399,423.45 = 185,657.71/x
  3. Step 3: Cross multiply
    266,143.26x = 399,423.45 × 185,657.71
  4. Step 4: Simplify right side
    266,143.26x = 74,156,043,917.85
  5. Step 5: Solve for x
    x = 74,156,043,917.85/266,143.26
  6. Step 6: Final answer
    x = 278,632.06

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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.