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Finding the Fourth Proportional to 398,622.97, 550,078.83 and 226,517.92

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Solution

The fourth proportional to 398,622.97, 550,078.83 and 226,517.92 is: 312,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,622.97 : 550,078.83 = 226,517.92 : x
  2. Step 2: Convert to fraction form
    398,622.97/550,078.83 = 226,517.92/x
  3. Step 3: Cross multiply
    398,622.97x = 550,078.83 × 226,517.92
  4. Step 4: Simplify right side
    398,622.97x = 124,602,712,407.63
  5. Step 5: Solve for x
    x = 124,602,712,407.63/398,622.97
  6. Step 6: Final answer
    x = 312,582.87

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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.