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Finding the Fourth Proportional to 306,376.75, 422,793.85 and 170,407.78

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Solution

The fourth proportional to 306,376.75, 422,793.85 and 170,407.78 is: 235,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,376.75 : 422,793.85 = 170,407.78 : x
  2. Step 2: Convert to fraction form
    306,376.75/422,793.85 = 170,407.78/x
  3. Step 3: Cross multiply
    306,376.75x = 422,793.85 × 170,407.78
  4. Step 4: Simplify right side
    306,376.75x = 72,047,361,376.15
  5. Step 5: Solve for x
    x = 72,047,361,376.15/306,376.75
  6. Step 6: Final answer
    x = 235,159.36

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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.