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Finding the Fourth Proportional to 470,801.49, 649,496.25 and 313,680.12

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Solution

The fourth proportional to 470,801.49, 649,496.25 and 313,680.12 is: 432,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,801.49 : 649,496.25 = 313,680.12 : x
  2. Step 2: Convert to fraction form
    470,801.49/649,496.25 = 313,680.12/x
  3. Step 3: Cross multiply
    470,801.49x = 649,496.25 × 313,680.12
  4. Step 4: Simplify right side
    470,801.49x = 203,734,061,639.55
  5. Step 5: Solve for x
    x = 203,734,061,639.55/470,801.49
  6. Step 6: Final answer
    x = 432,738.78

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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.