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Finding the Fourth Proportional to 256,834.20, 385,251.30 and 172,853.40

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Solution

The fourth proportional to 256,834.20, 385,251.30 and 172,853.40 is: 259,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,834.20 : 385,251.30 = 172,853.40 : x
  2. Step 2: Convert to fraction form
    256,834.20/385,251.30 = 172,853.40/x
  3. Step 3: Cross multiply
    256,834.20x = 385,251.30 × 172,853.40
  4. Step 4: Simplify right side
    256,834.20x = 66,591,997,059.42
  5. Step 5: Solve for x
    x = 66,591,997,059.42/256,834.20
  6. Step 6: Final answer
    x = 259,280.10

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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.