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Finding the Fourth Proportional to 312,883.92, 431,657.70 and 204,116.13

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Solution

The fourth proportional to 312,883.92, 431,657.70 and 204,116.13 is: 281,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,883.92 : 431,657.70 = 204,116.13 : x
  2. Step 2: Convert to fraction form
    312,883.92/431,657.70 = 204,116.13/x
  3. Step 3: Cross multiply
    312,883.92x = 431,657.70 × 204,116.13
  4. Step 4: Simplify right side
    312,883.92x = 88,108,299,208.70
  5. Step 5: Solve for x
    x = 88,108,299,208.70/312,883.92
  6. Step 6: Final answer
    x = 281,600.60

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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.