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Finding the Fourth Proportional to 256,755.42, 354,344.57 and 149,317.88

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Solution

The fourth proportional to 256,755.42, 354,344.57 and 149,317.88 is: 206,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,755.42 : 354,344.57 = 149,317.88 : x
  2. Step 2: Convert to fraction form
    256,755.42/354,344.57 = 149,317.88/x
  3. Step 3: Cross multiply
    256,755.42x = 354,344.57 × 149,317.88
  4. Step 4: Simplify right side
    256,755.42x = 52,909,977,463.60
  5. Step 5: Solve for x
    x = 52,909,977,463.60/256,755.42
  6. Step 6: Final answer
    x = 206,071.51

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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.