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Finding the Fourth Proportional to 498,841.78, 688,401.62 and 269,399.04

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Solution

The fourth proportional to 498,841.78, 688,401.62 and 269,399.04 is: 371,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,841.78 : 688,401.62 = 269,399.04 : x
  2. Step 2: Convert to fraction form
    498,841.78/688,401.62 = 269,399.04/x
  3. Step 3: Cross multiply
    498,841.78x = 688,401.62 × 269,399.04
  4. Step 4: Simplify right side
    498,841.78x = 185,454,735,562.45
  5. Step 5: Solve for x
    x = 185,454,735,562.45/498,841.78
  6. Step 6: Final answer
    x = 371,770.66

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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.