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Finding the Fourth Proportional to 278,441.40, 417,791.70 and 145,471.80

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Solution

The fourth proportional to 278,441.40, 417,791.70 and 145,471.80 is: 218,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,441.40 : 417,791.70 = 145,471.80 : x
  2. Step 2: Convert to fraction form
    278,441.40/417,791.70 = 145,471.80/x
  3. Step 3: Cross multiply
    278,441.40x = 417,791.70 × 145,471.80
  4. Step 4: Simplify right side
    278,441.40x = 60,776,910,624.06
  5. Step 5: Solve for x
    x = 60,776,910,624.06/278,441.40
  6. Step 6: Final answer
    x = 218,275.41

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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.