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Finding the Fourth Proportional to 512,532.92, 707,296.68 and 286,186.52

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Solution

The fourth proportional to 512,532.92, 707,296.68 and 286,186.52 is: 394,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,532.92 : 707,296.68 = 286,186.52 : x
  2. Step 2: Convert to fraction form
    512,532.92/707,296.68 = 286,186.52/x
  3. Step 3: Cross multiply
    512,532.92x = 707,296.68 × 286,186.52
  4. Step 4: Simplify right side
    512,532.92x = 202,418,775,456.75
  5. Step 5: Solve for x
    x = 202,418,775,456.75/512,532.92
  6. Step 6: Final answer
    x = 394,938.10

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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.