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Finding the Fourth Proportional to 256,999.92, 354,697 and 148,083.40

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Solution

The fourth proportional to 256,999.92, 354,697 and 148,083.40 is: 204,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,999.92 : 354,697 = 148,083.40 : x
  2. Step 2: Convert to fraction form
    256,999.92/354,697 = 148,083.40/x
  3. Step 3: Cross multiply
    256,999.92x = 354,697 × 148,083.40
  4. Step 4: Simplify right side
    256,999.92x = 52,524,737,729.80
  5. Step 5: Solve for x
    x = 52,524,737,729.80/256,999.92
  6. Step 6: Final answer
    x = 204,376.48

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1.5x scale

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.