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Finding the Fourth Proportional to 398,738.54, 550,260.10 and 226,657.62

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Solution

The fourth proportional to 398,738.54, 550,260.10 and 226,657.62 is: 312,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,738.54 : 550,260.10 = 226,657.62 : x
  2. Step 2: Convert to fraction form
    398,738.54/550,260.10 = 226,657.62/x
  3. Step 3: Cross multiply
    398,738.54x = 550,260.10 × 226,657.62
  4. Step 4: Simplify right side
    398,738.54x = 124,720,644,646.96
  5. Step 5: Solve for x
    x = 124,720,644,646.96/398,738.54
  6. Step 6: Final answer
    x = 312,788.04

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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.