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Finding the Fourth Proportional to 378,358.06, 567,617.99 and 138,471.16

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Solution

The fourth proportional to 378,358.06, 567,617.99 and 138,471.16 is: 207,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,358.06 : 567,617.99 = 138,471.16 : x
  2. Step 2: Convert to fraction form
    378,358.06/567,617.99 = 138,471.16/x
  3. Step 3: Cross multiply
    378,358.06x = 567,617.99 × 138,471.16
  4. Step 4: Simplify right side
    378,358.06x = 78,598,721,512.17
  5. Step 5: Solve for x
    x = 78,598,721,512.17/378,358.06
  6. Step 6: Final answer
    x = 207,736.35

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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.