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Finding the Fourth Proportional to 378,006.62, 567,233.18 and 138,099.20

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Solution

The fourth proportional to 378,006.62, 567,233.18 and 138,099.20 is: 207,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,006.62 : 567,233.18 = 138,099.20 : x
  2. Step 2: Convert to fraction form
    378,006.62/567,233.18 = 138,099.20/x
  3. Step 3: Cross multiply
    378,006.62x = 567,233.18 × 138,099.20
  4. Step 4: Simplify right side
    378,006.62x = 78,334,445,362.67
  5. Step 5: Solve for x
    x = 78,334,445,362.67/378,006.62
  6. Step 6: Final answer
    x = 207,230.36

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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.