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Finding the Fourth Proportional to 843,381, 1,265,246.46 and 344,745

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Solution

The fourth proportional to 843,381, 1,265,246.46 and 344,745 is: 517,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,381 : 1,265,246.46 = 344,745 : x
  2. Step 2: Convert to fraction form
    843,381/1,265,246.46 = 344,745/x
  3. Step 3: Cross multiply
    843,381x = 1,265,246.46 × 344,745
  4. Step 4: Simplify right side
    843,381x = 436,187,390,852.70
  5. Step 5: Solve for x
    x = 436,187,390,852.70/843,381
  6. Step 6: Final answer
    x = 517,189.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.