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Finding the Fourth Proportional to 725,156, 1,086,956.40 and 350,352.80

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Solution

The fourth proportional to 725,156, 1,086,956.40 and 350,352.80 is: 525,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,156 : 1,086,956.40 = 350,352.80 : x
  2. Step 2: Convert to fraction form
    725,156/1,086,956.40 = 350,352.80/x
  3. Step 3: Cross multiply
    725,156x = 1,086,956.40 × 350,352.80
  4. Step 4: Simplify right side
    725,156x = 380,818,218,217.92
  5. Step 5: Solve for x
    x = 380,818,218,217.92/725,156
  6. Step 6: Final answer
    x = 525,153.51

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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.