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Finding the Fourth Proportional to 256,250.25, 384,246.33 and 85,411.46

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Solution

The fourth proportional to 256,250.25, 384,246.33 and 85,411.46 is: 128,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,250.25 : 384,246.33 = 85,411.46 : x
  2. Step 2: Convert to fraction form
    256,250.25/384,246.33 = 85,411.46/x
  3. Step 3: Cross multiply
    256,250.25x = 384,246.33 × 85,411.46
  4. Step 4: Simplify right side
    256,250.25x = 32,819,040,044.94
  5. Step 5: Solve for x
    x = 32,819,040,044.94/256,250.25
  6. Step 6: Final answer
    x = 128,074.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.