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Finding the Fourth Proportional to 278,718.60, 418,077.90 and 101,231.40

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Solution

The fourth proportional to 278,718.60, 418,077.90 and 101,231.40 is: 151,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,718.60 : 418,077.90 = 101,231.40 : x
  2. Step 2: Convert to fraction form
    278,718.60/418,077.90 = 101,231.40/x
  3. Step 3: Cross multiply
    278,718.60x = 418,077.90 × 101,231.40
  4. Step 4: Simplify right side
    278,718.60x = 42,322,611,126.06
  5. Step 5: Solve for x
    x = 42,322,611,126.06/278,718.60
  6. Step 6: Final answer
    x = 151,847.10

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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.