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Finding the Fourth Proportional to 702,401.42, 969,309.48 and 396,481.70

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Solution

The fourth proportional to 702,401.42, 969,309.48 and 396,481.70 is: 547,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,401.42 : 969,309.48 = 396,481.70 : x
  2. Step 2: Convert to fraction form
    702,401.42/969,309.48 = 396,481.70/x
  3. Step 3: Cross multiply
    702,401.42x = 969,309.48 × 396,481.70
  4. Step 4: Simplify right side
    702,401.42x = 384,313,470,456.52
  5. Step 5: Solve for x
    x = 384,313,470,456.52/702,401.42
  6. Step 6: Final answer
    x = 547,142.22

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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.