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Finding the Fourth Proportional to 278,315.46, 417,472.11 and 100,780.94

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Solution

The fourth proportional to 278,315.46, 417,472.11 and 100,780.94 is: 151,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,315.46 : 417,472.11 = 100,780.94 : x
  2. Step 2: Convert to fraction form
    278,315.46/417,472.11 = 100,780.94/x
  3. Step 3: Cross multiply
    278,315.46x = 417,472.11 × 100,780.94
  4. Step 4: Simplify right side
    278,315.46x = 42,073,232,713.26
  5. Step 5: Solve for x
    x = 42,073,232,713.26/278,315.46
  6. Step 6: Final answer
    x = 151,171.02

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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.