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Finding the Fourth Proportional to 254,456.60, 381,433.80 and 142,190.60

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Solution

The fourth proportional to 254,456.60, 381,433.80 and 142,190.60 is: 213,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,456.60 : 381,433.80 = 142,190.60 : x
  2. Step 2: Convert to fraction form
    254,456.60/381,433.80 = 142,190.60/x
  3. Step 3: Cross multiply
    254,456.60x = 381,433.80 × 142,190.60
  4. Step 4: Simplify right side
    254,456.60x = 54,236,300,882.28
  5. Step 5: Solve for x
    x = 54,236,300,882.28/254,456.60
  6. Step 6: Final answer
    x = 213,145.59

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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.