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Finding the Fourth Proportional to 278,120.88, 416,933.80 and 100,588.46

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Solution

The fourth proportional to 278,120.88, 416,933.80 and 100,588.46 is: 150,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,120.88 : 416,933.80 = 100,588.46 : x
  2. Step 2: Convert to fraction form
    278,120.88/416,933.80 = 100,588.46/x
  3. Step 3: Cross multiply
    278,120.88x = 416,933.80 × 100,588.46
  4. Step 4: Simplify right side
    278,120.88x = 41,938,726,527.81
  5. Step 5: Solve for x
    x = 41,938,726,527.81/278,120.88
  6. Step 6: Final answer
    x = 150,793.16

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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.