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Finding the Fourth Proportional to 498,840.78, 688,400.25 and 269,398.04

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Solution

The fourth proportional to 498,840.78, 688,400.25 and 269,398.04 is: 371,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,840.78 : 688,400.25 = 269,398.04 : x
  2. Step 2: Convert to fraction form
    498,840.78/688,400.25 = 269,398.04/x
  3. Step 3: Cross multiply
    498,840.78x = 688,400.25 × 269,398.04
  4. Step 4: Simplify right side
    498,840.78x = 185,453,676,738.52
  5. Step 5: Solve for x
    x = 185,453,676,738.52/498,840.78
  6. Step 6: Final answer
    x = 371,769.28

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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.