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Finding the Fourth Proportional to 378,470.89, 567,063.68 and 228,395.84

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Solution

The fourth proportional to 378,470.89, 567,063.68 and 228,395.84 is: 342,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,470.89 : 567,063.68 = 228,395.84 : x
  2. Step 2: Convert to fraction form
    378,470.89/567,063.68 = 228,395.84/x
  3. Step 3: Cross multiply
    378,470.89x = 567,063.68 × 228,395.84
  4. Step 4: Simplify right side
    378,470.89x = 129,514,981,549.79
  5. Step 5: Solve for x
    x = 129,514,981,549.79/378,470.89
  6. Step 6: Final answer
    x = 342,205.93

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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.