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Finding the Fourth Proportional to 256,842.75, 354,530.43 and 149,502.96

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Solution

The fourth proportional to 256,842.75, 354,530.43 and 149,502.96 is: 206,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,842.75 : 354,530.43 = 149,502.96 : x
  2. Step 2: Convert to fraction form
    256,842.75/354,530.43 = 149,502.96/x
  3. Step 3: Cross multiply
    256,842.75x = 354,530.43 × 149,502.96
  4. Step 4: Simplify right side
    256,842.75x = 53,003,348,695.07
  5. Step 5: Solve for x
    x = 53,003,348,695.07/256,842.75
  6. Step 6: Final answer
    x = 206,364.98

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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.