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Finding the Fourth Proportional to 256,998.66, 354,695.27 and 148,082.15

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Solution

The fourth proportional to 256,998.66, 354,695.27 and 148,082.15 is: 204,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,998.66 : 354,695.27 = 148,082.15 : x
  2. Step 2: Convert to fraction form
    256,998.66/354,695.27 = 148,082.15/x
  3. Step 3: Cross multiply
    256,998.66x = 354,695.27 × 148,082.15
  4. Step 4: Simplify right side
    256,998.66x = 52,524,038,176.43
  5. Step 5: Solve for x
    x = 52,524,038,176.43/256,998.66
  6. Step 6: Final answer
    x = 204,374.76

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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.