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Finding the Fourth Proportional to 378,505.17, 567,699.62 and 138,562.52

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Solution

The fourth proportional to 378,505.17, 567,699.62 and 138,562.52 is: 207,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,505.17 : 567,699.62 = 138,562.52 : x
  2. Step 2: Convert to fraction form
    378,505.17/567,699.62 = 138,562.52/x
  3. Step 3: Cross multiply
    378,505.17x = 567,699.62 × 138,562.52
  4. Step 4: Simplify right side
    378,505.17x = 78,661,886,418.93
  5. Step 5: Solve for x
    x = 78,661,886,418.93/378,505.17
  6. Step 6: Final answer
    x = 207,822.49

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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.