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Finding the Fourth Proportional to 610,891.86, 843,034.49 and 338,965.08

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Solution

The fourth proportional to 610,891.86, 843,034.49 and 338,965.08 is: 467,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,891.86 : 843,034.49 = 338,965.08 : x
  2. Step 2: Convert to fraction form
    610,891.86/843,034.49 = 338,965.08/x
  3. Step 3: Cross multiply
    610,891.86x = 843,034.49 × 338,965.08
  4. Step 4: Simplify right side
    610,891.86x = 285,759,251,650.78
  5. Step 5: Solve for x
    x = 285,759,251,650.78/610,891.86
  6. Step 6: Final answer
    x = 467,773.87

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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.