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Finding the Fourth Proportional to 256,745.31, 354,277.65 and 147,885.05

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Solution

The fourth proportional to 256,745.31, 354,277.65 and 147,885.05 is: 204,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,745.31 : 354,277.65 = 147,885.05 : x
  2. Step 2: Convert to fraction form
    256,745.31/354,277.65 = 147,885.05/x
  3. Step 3: Cross multiply
    256,745.31x = 354,277.65 × 147,885.05
  4. Step 4: Simplify right side
    256,745.31x = 52,392,367,984.13
  5. Step 5: Solve for x
    x = 52,392,367,984.13/256,745.31
  6. Step 6: Final answer
    x = 204,063.59

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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.