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Finding the Fourth Proportional to 256,903.68, 354,440.58 and 149,385.30

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Solution

The fourth proportional to 256,903.68, 354,440.58 and 149,385.30 is: 206,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,903.68 : 354,440.58 = 149,385.30 : x
  2. Step 2: Convert to fraction form
    256,903.68/354,440.58 = 149,385.30/x
  3. Step 3: Cross multiply
    256,903.68x = 354,440.58 × 149,385.30
  4. Step 4: Simplify right side
    256,903.68x = 52,948,212,375.47
  5. Step 5: Solve for x
    x = 52,948,212,375.47/256,903.68
  6. Step 6: Final answer
    x = 206,101.42

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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.