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Finding the Fourth Proportional to 512,568.60, 707,330.26 and 283,121.32

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Solution

The fourth proportional to 512,568.60, 707,330.26 and 283,121.32 is: 390,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,568.60 : 707,330.26 = 283,121.32 : x
  2. Step 2: Convert to fraction form
    512,568.60/707,330.26 = 283,121.32/x
  3. Step 3: Cross multiply
    512,568.60x = 707,330.26 × 283,121.32
  4. Step 4: Simplify right side
    512,568.60x = 200,260,275,471.54
  5. Step 5: Solve for x
    x = 200,260,275,471.54/512,568.60
  6. Step 6: Final answer
    x = 390,699.46

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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.