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Finding the Fourth Proportional to 378,672.30, 567,467.10 and 278,042.94

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Solution

The fourth proportional to 378,672.30, 567,467.10 and 278,042.94 is: 416,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,672.30 : 567,467.10 = 278,042.94 : x
  2. Step 2: Convert to fraction form
    378,672.30/567,467.10 = 278,042.94/x
  3. Step 3: Cross multiply
    378,672.30x = 567,467.10 × 278,042.94
  4. Step 4: Simplify right side
    378,672.30x = 157,780,220,837.27
  5. Step 5: Solve for x
    x = 157,780,220,837.27/378,672.30
  6. Step 6: Final answer
    x = 416,666.92

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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.