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Finding the Fourth Proportional to 308,672.85, 465,322.82 and 288,097.96

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Solution

The fourth proportional to 308,672.85, 465,322.82 and 288,097.96 is: 434,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,672.85 : 465,322.82 = 288,097.96 : x
  2. Step 2: Convert to fraction form
    308,672.85/465,322.82 = 288,097.96/x
  3. Step 3: Cross multiply
    308,672.85x = 465,322.82 × 288,097.96
  4. Step 4: Simplify right side
    308,672.85x = 134,058,552,579.65
  5. Step 5: Solve for x
    x = 134,058,552,579.65/308,672.85
  6. Step 6: Final answer
    x = 434,306.26

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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.