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Finding the Fourth Proportional to 512,826.32, 707,696.45 and 283,399.08

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Solution

The fourth proportional to 512,826.32, 707,696.45 and 283,399.08 is: 391,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,826.32 : 707,696.45 = 283,399.08 : x
  2. Step 2: Convert to fraction form
    512,826.32/707,696.45 = 283,399.08/x
  3. Step 3: Cross multiply
    512,826.32x = 707,696.45 × 283,399.08
  4. Step 4: Simplify right side
    512,826.32x = 200,560,522,849.27
  5. Step 5: Solve for x
    x = 200,560,522,849.27/512,826.32
  6. Step 6: Final answer
    x = 391,088.59

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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.