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Finding the Fourth Proportional to 256,869, 354,479.22 and 143,691.84

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Solution

The fourth proportional to 256,869, 354,479.22 and 143,691.84 is: 198,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,869 : 354,479.22 = 143,691.84 : x
  2. Step 2: Convert to fraction form
    256,869/354,479.22 = 143,691.84/x
  3. Step 3: Cross multiply
    256,869x = 354,479.22 × 143,691.84
  4. Step 4: Simplify right side
    256,869x = 50,935,771,363.56
  5. Step 5: Solve for x
    x = 50,935,771,363.56/256,869
  6. Step 6: Final answer
    x = 198,294.74

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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.