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Finding the Fourth Proportional to 611,751.49, 844,352.10 and 339,912.86

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Solution

The fourth proportional to 611,751.49, 844,352.10 and 339,912.86 is: 469,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,751.49 : 844,352.10 = 339,912.86 : x
  2. Step 2: Convert to fraction form
    611,751.49/844,352.10 = 339,912.86/x
  3. Step 3: Cross multiply
    611,751.49x = 844,352.10 × 339,912.86
  4. Step 4: Simplify right side
    611,751.49x = 287,006,132,936.25
  5. Step 5: Solve for x
    x = 287,006,132,936.25/611,751.49
  6. Step 6: Final answer
    x = 469,154.78

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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.