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Finding the Fourth Proportional to 256,837.20, 385,255.80 and 172,856.40

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Solution

The fourth proportional to 256,837.20, 385,255.80 and 172,856.40 is: 259,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,837.20 : 385,255.80 = 172,856.40 : x
  2. Step 2: Convert to fraction form
    256,837.20/385,255.80 = 172,856.40/x
  3. Step 3: Cross multiply
    256,837.20x = 385,255.80 × 172,856.40
  4. Step 4: Simplify right side
    256,837.20x = 66,593,930,667.12
  5. Step 5: Solve for x
    x = 66,593,930,667.12/256,837.20
  6. Step 6: Final answer
    x = 259,284.60

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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.