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Finding the Fourth Proportional to 605,408.32, 835,274.85 and 343,720.81

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Solution

The fourth proportional to 605,408.32, 835,274.85 and 343,720.81 is: 474,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,408.32 : 835,274.85 = 343,720.81 : x
  2. Step 2: Convert to fraction form
    605,408.32/835,274.85 = 343,720.81/x
  3. Step 3: Cross multiply
    605,408.32x = 835,274.85 × 343,720.81
  4. Step 4: Simplify right side
    605,408.32x = 287,101,343,838.25
  5. Step 5: Solve for x
    x = 287,101,343,838.25/605,408.32
  6. Step 6: Final answer
    x = 474,227.62

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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.