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Finding the Fourth Proportional to 278,201.42, 417,385.30 and 197,304.30

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Solution

The fourth proportional to 278,201.42, 417,385.30 and 197,304.30 is: 296,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,201.42 : 417,385.30 = 197,304.30 : x
  2. Step 2: Convert to fraction form
    278,201.42/417,385.30 = 197,304.30/x
  3. Step 3: Cross multiply
    278,201.42x = 417,385.30 × 197,304.30
  4. Step 4: Simplify right side
    278,201.42x = 82,351,914,446.79
  5. Step 5: Solve for x
    x = 82,351,914,446.79/278,201.42
  6. Step 6: Final answer
    x = 296,015.44

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1.5x scale

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.