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Finding the Fourth Proportional to 512,834.79, 707,754.61 and 283,436.87

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Solution

The fourth proportional to 512,834.79, 707,754.61 and 283,436.87 is: 391,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,834.79 : 707,754.61 = 283,436.87 : x
  2. Step 2: Convert to fraction form
    512,834.79/707,754.61 = 283,436.87/x
  3. Step 3: Cross multiply
    512,834.79x = 707,754.61 × 283,436.87
  4. Step 4: Simplify right side
    512,834.79x = 200,603,752,183.11
  5. Step 5: Solve for x
    x = 200,603,752,183.11/512,834.79
  6. Step 6: Final answer
    x = 391,166.42

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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.