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Finding the Fourth Proportional to 256,498.09, 384,747.23 and 66,957.92

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Solution

The fourth proportional to 256,498.09, 384,747.23 and 66,957.92 is: 100,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,498.09 : 384,747.23 = 66,957.92 : x
  2. Step 2: Convert to fraction form
    256,498.09/384,747.23 = 66,957.92/x
  3. Step 3: Cross multiply
    256,498.09x = 384,747.23 × 66,957.92
  4. Step 4: Simplify right side
    256,498.09x = 25,761,874,246.56
  5. Step 5: Solve for x
    x = 25,761,874,246.56/256,498.09
  6. Step 6: Final answer
    x = 100,436.90

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1.5x scale

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.