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Finding the Fourth Proportional to 254,311.40, 381,685.80 and 112,375.10

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Solution

The fourth proportional to 254,311.40, 381,685.80 and 112,375.10 is: 168,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,311.40 : 381,685.80 = 112,375.10 : x
  2. Step 2: Convert to fraction form
    254,311.40/381,685.80 = 112,375.10/x
  3. Step 3: Cross multiply
    254,311.40x = 381,685.80 × 112,375.10
  4. Step 4: Simplify right side
    254,311.40x = 42,891,979,943.58
  5. Step 5: Solve for x
    x = 42,891,979,943.58/254,311.40
  6. Step 6: Final answer
    x = 168,659.29

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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.