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Finding the Fourth Proportional to 308,675.85, 465,327.33 and 288,100.95

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Solution

The fourth proportional to 308,675.85, 465,327.33 and 288,100.95 is: 434,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,675.85 : 465,327.33 = 288,100.95 : x
  2. Step 2: Convert to fraction form
    308,675.85/465,327.33 = 288,100.95/x
  3. Step 3: Cross multiply
    308,675.85x = 465,327.33 × 288,100.95
  4. Step 4: Simplify right side
    308,675.85x = 134,061,245,833.96
  5. Step 5: Solve for x
    x = 134,061,245,833.96/308,675.85
  6. Step 6: Final answer
    x = 434,310.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.