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Finding the Fourth Proportional to 254,469.20, 381,377.40 and 142,149.20

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Solution

The fourth proportional to 254,469.20, 381,377.40 and 142,149.20 is: 213,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,469.20 : 381,377.40 = 142,149.20 : x
  2. Step 2: Convert to fraction form
    254,469.20/381,377.40 = 142,149.20/x
  3. Step 3: Cross multiply
    254,469.20x = 381,377.40 × 142,149.20
  4. Step 4: Simplify right side
    254,469.20x = 54,212,492,308.08
  5. Step 5: Solve for x
    x = 54,212,492,308.08/254,469.20
  6. Step 6: Final answer
    x = 213,041.47

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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.