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Finding the Fourth Proportional to 256,870.85, 354,469.20 and 142,147.44

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Solution

The fourth proportional to 256,870.85, 354,469.20 and 142,147.44 is: 196,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,870.85 : 354,469.20 = 142,147.44 : x
  2. Step 2: Convert to fraction form
    256,870.85/354,469.20 = 142,147.44/x
  3. Step 3: Cross multiply
    256,870.85x = 354,469.20 × 142,147.44
  4. Step 4: Simplify right side
    256,870.85x = 50,386,888,805.80
  5. Step 5: Solve for x
    x = 50,386,888,805.80/256,870.85
  6. Step 6: Final answer
    x = 196,156.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.