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Finding the Fourth Proportional to 513,205.92, 708,211.62 and 283,757.38

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Solution

The fourth proportional to 513,205.92, 708,211.62 and 283,757.38 is: 391,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,205.92 : 708,211.62 = 283,757.38 : x
  2. Step 2: Convert to fraction form
    513,205.92/708,211.62 = 283,757.38/x
  3. Step 3: Cross multiply
    513,205.92x = 708,211.62 × 283,757.38
  4. Step 4: Simplify right side
    513,205.92x = 200,960,272,006.23
  5. Step 5: Solve for x
    x = 200,960,272,006.23/513,205.92
  6. Step 6: Final answer
    x = 391,578.24

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1.5x scale

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.