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Finding the Fourth Proportional to 256,876.72, 354,561.20 and 149,467.58

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Solution

The fourth proportional to 256,876.72, 354,561.20 and 149,467.58 is: 206,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,876.72 : 354,561.20 = 149,467.58 : x
  2. Step 2: Convert to fraction form
    256,876.72/354,561.20 = 149,467.58/x
  3. Step 3: Cross multiply
    256,876.72x = 354,561.20 × 149,467.58
  4. Step 4: Simplify right side
    256,876.72x = 52,995,403,895.86
  5. Step 5: Solve for x
    x = 52,995,403,895.86/256,876.72
  6. Step 6: Final answer
    x = 206,306.76

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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.