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Finding the Fourth Proportional to 378,699.91, 567,508.52 and 278,070.55

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Solution

The fourth proportional to 378,699.91, 567,508.52 and 278,070.55 is: 416,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,699.91 : 567,508.52 = 278,070.55 : x
  2. Step 2: Convert to fraction form
    378,699.91/567,508.52 = 278,070.55/x
  3. Step 3: Cross multiply
    378,699.91x = 567,508.52 × 278,070.55
  4. Step 4: Simplify right side
    378,699.91x = 157,807,404,895.73
  5. Step 5: Solve for x
    x = 157,807,404,895.73/378,699.91
  6. Step 6: Final answer
    x = 416,708.32

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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.