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Finding the Fourth Proportional to 631,696.90, 871,744 and 345,217.12

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Solution

The fourth proportional to 631,696.90, 871,744 and 345,217.12 is: 476,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,696.90 : 871,744 = 345,217.12 : x
  2. Step 2: Convert to fraction form
    631,696.90/871,744 = 345,217.12/x
  3. Step 3: Cross multiply
    631,696.90x = 871,744 × 345,217.12
  4. Step 4: Simplify right side
    631,696.90x = 300,940,953,057.28
  5. Step 5: Solve for x
    x = 300,940,953,057.28/631,696.90
  6. Step 6: Final answer
    x = 476,400.87

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1.5x scale

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.