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Finding the Fourth Proportional to 611,433.50, 843,778.23 and 343,161.50

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Solution

The fourth proportional to 611,433.50, 843,778.23 and 343,161.50 is: 473,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,433.50 : 843,778.23 = 343,161.50 : x
  2. Step 2: Convert to fraction form
    611,433.50/843,778.23 = 343,161.50/x
  3. Step 3: Cross multiply
    611,433.50x = 843,778.23 × 343,161.50
  4. Step 4: Simplify right side
    611,433.50x = 289,552,203,074.15
  5. Step 5: Solve for x
    x = 289,552,203,074.15/611,433.50
  6. Step 6: Final answer
    x = 473,562.87

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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.