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Finding the Fourth Proportional to 278,585.34, 417,942.90 and 221,874

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Solution

The fourth proportional to 278,585.34, 417,942.90 and 221,874 is: 332,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,585.34 : 417,942.90 = 221,874 : x
  2. Step 2: Convert to fraction form
    278,585.34/417,942.90 = 221,874/x
  3. Step 3: Cross multiply
    278,585.34x = 417,942.90 × 221,874
  4. Step 4: Simplify right side
    278,585.34x = 92,730,662,994.60
  5. Step 5: Solve for x
    x = 92,730,662,994.60/278,585.34
  6. Step 6: Final answer
    x = 332,862.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.