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Finding the Fourth Proportional to 278,289.80, 383,892.84 and 197,749.88

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Solution

The fourth proportional to 278,289.80, 383,892.84 and 197,749.88 is: 272,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,289.80 : 383,892.84 = 197,749.88 : x
  2. Step 2: Convert to fraction form
    278,289.80/383,892.84 = 197,749.88/x
  3. Step 3: Cross multiply
    278,289.80x = 383,892.84 × 197,749.88
  4. Step 4: Simplify right side
    278,289.80x = 75,914,763,042.86
  5. Step 5: Solve for x
    x = 75,914,763,042.86/278,289.80
  6. Step 6: Final answer
    x = 272,790.32

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1.5x scale

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.