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Finding the Fourth Proportional to 256,842.28, 385,339.74 and 123,684.04

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Solution

The fourth proportional to 256,842.28, 385,339.74 and 123,684.04 is: 185,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,842.28 : 385,339.74 = 123,684.04 : x
  2. Step 2: Convert to fraction form
    256,842.28/385,339.74 = 123,684.04/x
  3. Step 3: Cross multiply
    256,842.28x = 385,339.74 × 123,684.04
  4. Step 4: Simplify right side
    256,842.28x = 47,660,375,815.75
  5. Step 5: Solve for x
    x = 47,660,375,815.75/256,842.28
  6. Step 6: Final answer
    x = 185,562.81

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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.