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Finding the Fourth Proportional to 413,906.40, 620,859.60 and 343,922.40

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Solution

The fourth proportional to 413,906.40, 620,859.60 and 343,922.40 is: 515,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,906.40 : 620,859.60 = 343,922.40 : x
  2. Step 2: Convert to fraction form
    413,906.40/620,859.60 = 343,922.40/x
  3. Step 3: Cross multiply
    413,906.40x = 620,859.60 × 343,922.40
  4. Step 4: Simplify right side
    413,906.40x = 213,527,523,695.04
  5. Step 5: Solve for x
    x = 213,527,523,695.04/413,906.40
  6. Step 6: Final answer
    x = 515,883.60

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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.