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Finding the Fourth Proportional to 512,944.22, 707,841.00 and 283,489.65

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Solution

The fourth proportional to 512,944.22, 707,841.00 and 283,489.65 is: 391,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,944.22 : 707,841.00 = 283,489.65 : x
  2. Step 2: Convert to fraction form
    512,944.22/707,841.00 = 283,489.65/x
  3. Step 3: Cross multiply
    512,944.22x = 707,841.00 × 283,489.65
  4. Step 4: Simplify right side
    512,944.22x = 200,665,596,152.16
  5. Step 5: Solve for x
    x = 200,665,596,152.16/512,944.22
  6. Step 6: Final answer
    x = 391,203.54

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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.