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Finding the Fourth Proportional to 408,842.80, 613,264.20 and 320,172.10

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Solution

The fourth proportional to 408,842.80, 613,264.20 and 320,172.10 is: 480,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,842.80 : 613,264.20 = 320,172.10 : x
  2. Step 2: Convert to fraction form
    408,842.80/613,264.20 = 320,172.10/x
  3. Step 3: Cross multiply
    408,842.80x = 613,264.20 × 320,172.10
  4. Step 4: Simplify right side
    408,842.80x = 196,350,086,768.82
  5. Step 5: Solve for x
    x = 196,350,086,768.82/408,842.80
  6. Step 6: Final answer
    x = 480,258.15

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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.