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Finding the Fourth Proportional to 378,321.49, 567,649.37 and 198,363.89

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Solution

The fourth proportional to 378,321.49, 567,649.37 and 198,363.89 is: 297,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,321.49 : 567,649.37 = 198,363.89 : x
  2. Step 2: Convert to fraction form
    378,321.49/567,649.37 = 198,363.89/x
  3. Step 3: Cross multiply
    378,321.49x = 567,649.37 × 198,363.89
  4. Step 4: Simplify right side
    378,321.49x = 112,601,134,795.46
  5. Step 5: Solve for x
    x = 112,601,134,795.46/378,321.49
  6. Step 6: Final answer
    x = 297,633.47

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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.