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Finding the Fourth Proportional to 498,978.97, 688,591.20 and 269,536.24

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Solution

The fourth proportional to 498,978.97, 688,591.20 and 269,536.24 is: 371,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,978.97 : 688,591.20 = 269,536.24 : x
  2. Step 2: Convert to fraction form
    498,978.97/688,591.20 = 269,536.24/x
  3. Step 3: Cross multiply
    498,978.97x = 688,591.20 × 269,536.24
  4. Step 4: Simplify right side
    498,978.97x = 185,600,282,945.09
  5. Step 5: Solve for x
    x = 185,600,282,945.09/498,978.97
  6. Step 6: Final answer
    x = 371,960.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.