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Finding the Fourth Proportional to 256,147.30, 384,239.40 and 98,375.75

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Solution

The fourth proportional to 256,147.30, 384,239.40 and 98,375.75 is: 147,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,147.30 : 384,239.40 = 98,375.75 : x
  2. Step 2: Convert to fraction form
    256,147.30/384,239.40 = 98,375.75/x
  3. Step 3: Cross multiply
    256,147.30x = 384,239.40 × 98,375.75
  4. Step 4: Simplify right side
    256,147.30x = 37,799,838,305.34
  5. Step 5: Solve for x
    x = 37,799,838,305.34/256,147.30
  6. Step 6: Final answer
    x = 147,570.71

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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.