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Finding the Fourth Proportional to 611,042.93, 843,214.25 and 339,122.15

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Solution

The fourth proportional to 611,042.93, 843,214.25 and 339,122.15 is: 467,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,042.93 : 843,214.25 = 339,122.15 : x
  2. Step 2: Convert to fraction form
    611,042.93/843,214.25 = 339,122.15/x
  3. Step 3: Cross multiply
    611,042.93x = 843,214.25 × 339,122.15
  4. Step 4: Simplify right side
    611,042.93x = 285,952,629,370.64
  5. Step 5: Solve for x
    x = 285,952,629,370.64/611,042.93
  6. Step 6: Final answer
    x = 467,974.70

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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.