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Finding the Fourth Proportional to 256,882.59, 354,498.98 and 143,705.43

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Solution

The fourth proportional to 256,882.59, 354,498.98 and 143,705.43 is: 198,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,882.59 : 354,498.98 = 143,705.43 : x
  2. Step 2: Convert to fraction form
    256,882.59/354,498.98 = 143,705.43/x
  3. Step 3: Cross multiply
    256,882.59x = 354,498.98 × 143,705.43
  4. Step 4: Simplify right side
    256,882.59x = 50,943,427,636.93
  5. Step 5: Solve for x
    x = 50,943,427,636.93/256,882.59
  6. Step 6: Final answer
    x = 198,314.05

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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.