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Finding the Fourth Proportional to 611,992, 844,628.16 and 343,720

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Solution

The fourth proportional to 611,992, 844,628.16 and 343,720 is: 474,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,992 : 844,628.16 = 343,720 : x
  2. Step 2: Convert to fraction form
    611,992/844,628.16 = 343,720/x
  3. Step 3: Cross multiply
    611,992x = 844,628.16 × 343,720
  4. Step 4: Simplify right side
    611,992x = 290,315,591,155.20
  5. Step 5: Solve for x
    x = 290,315,591,155.20/611,992
  6. Step 6: Final answer
    x = 474,378.08

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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.