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Finding the Fourth Proportional to 378,385.86, 567,948.15 and 312,497.22

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Solution

The fourth proportional to 378,385.86, 567,948.15 and 312,497.22 is: 469,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,385.86 : 567,948.15 = 312,497.22 : x
  2. Step 2: Convert to fraction form
    378,385.86/567,948.15 = 312,497.22/x
  3. Step 3: Cross multiply
    378,385.86x = 567,948.15 × 312,497.22
  4. Step 4: Simplify right side
    378,385.86x = 177,482,217,979.14
  5. Step 5: Solve for x
    x = 177,482,217,979.14/378,385.86
  6. Step 6: Final answer
    x = 469,050.87

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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.