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Finding the Fourth Proportional to 256,442.92, 353,872.72 and 141,720.20

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Solution

The fourth proportional to 256,442.92, 353,872.72 and 141,720.20 is: 195,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,442.92 : 353,872.72 = 141,720.20 : x
  2. Step 2: Convert to fraction form
    256,442.92/353,872.72 = 141,720.20/x
  3. Step 3: Cross multiply
    256,442.92x = 353,872.72 × 141,720.20
  4. Step 4: Simplify right side
    256,442.92x = 50,150,912,652.94
  5. Step 5: Solve for x
    x = 50,150,912,652.94/256,442.92
  6. Step 6: Final answer
    x = 195,563.65

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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.