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Finding the Fourth Proportional to 482,734.10, 724,101.15 and 305,441.30

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Solution

The fourth proportional to 482,734.10, 724,101.15 and 305,441.30 is: 458,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,734.10 : 724,101.15 = 305,441.30 : x
  2. Step 2: Convert to fraction form
    482,734.10/724,101.15 = 305,441.30/x
  3. Step 3: Cross multiply
    482,734.10x = 724,101.15 × 305,441.30
  4. Step 4: Simplify right side
    482,734.10x = 221,170,396,587.50
  5. Step 5: Solve for x
    x = 221,170,396,587.50/482,734.10
  6. Step 6: Final answer
    x = 458,161.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.