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Finding the Fourth Proportional to 312,753.22, 431,639.41 and 174,939.80

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Solution

The fourth proportional to 312,753.22, 431,639.41 and 174,939.80 is: 241,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,753.22 : 431,639.41 = 174,939.80 : x
  2. Step 2: Convert to fraction form
    312,753.22/431,639.41 = 174,939.80/x
  3. Step 3: Cross multiply
    312,753.22x = 431,639.41 × 174,939.80
  4. Step 4: Simplify right side
    312,753.22x = 75,510,911,182.82
  5. Step 5: Solve for x
    x = 75,510,911,182.82/312,753.22
  6. Step 6: Final answer
    x = 241,439.28

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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.