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Finding the Fourth Proportional to 254,478.28, 381,659.08 and 114,277

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Solution

The fourth proportional to 254,478.28, 381,659.08 and 114,277 is: 171,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,478.28 : 381,659.08 = 114,277 : x
  2. Step 2: Convert to fraction form
    254,478.28/381,659.08 = 114,277/x
  3. Step 3: Cross multiply
    254,478.28x = 381,659.08 × 114,277
  4. Step 4: Simplify right side
    254,478.28x = 43,614,854,685.16
  5. Step 5: Solve for x
    x = 43,614,854,685.16/254,478.28
  6. Step 6: Final answer
    x = 171,389.30

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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.