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Finding the Fourth Proportional to 256,585.42, 354,081.75 and 143,418.70

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Solution

The fourth proportional to 256,585.42, 354,081.75 and 143,418.70 is: 197,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,585.42 : 354,081.75 = 143,418.70 : x
  2. Step 2: Convert to fraction form
    256,585.42/354,081.75 = 143,418.70/x
  3. Step 3: Cross multiply
    256,585.42x = 354,081.75 × 143,418.70
  4. Step 4: Simplify right side
    256,585.42x = 50,781,944,278.73
  5. Step 5: Solve for x
    x = 50,781,944,278.73/256,585.42
  6. Step 6: Final answer
    x = 197,914.38

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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.