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Finding the Fourth Proportional to 312,878.54, 431,773.46 and 169,638.74

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Solution

The fourth proportional to 312,878.54, 431,773.46 and 169,638.74 is: 234,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,878.54 : 431,773.46 = 169,638.74 : x
  2. Step 2: Convert to fraction form
    312,878.54/431,773.46 = 169,638.74/x
  3. Step 3: Cross multiply
    312,878.54x = 431,773.46 × 169,638.74
  4. Step 4: Simplify right side
    312,878.54x = 73,245,505,719.84
  5. Step 5: Solve for x
    x = 73,245,505,719.84/312,878.54
  6. Step 6: Final answer
    x = 234,102.04

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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.