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Finding the Fourth Proportional to 278,158.44, 416,808.54 and 187,847.40

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Solution

The fourth proportional to 278,158.44, 416,808.54 and 187,847.40 is: 281,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,158.44 : 416,808.54 = 187,847.40 : x
  2. Step 2: Convert to fraction form
    278,158.44/416,808.54 = 187,847.40/x
  3. Step 3: Cross multiply
    278,158.44x = 416,808.54 × 187,847.40
  4. Step 4: Simplify right side
    278,158.44x = 78,296,400,536.80
  5. Step 5: Solve for x
    x = 78,296,400,536.80/278,158.44
  6. Step 6: Final answer
    x = 281,481.30

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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.