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Finding the Fourth Proportional to 512,568.10, 707,329.56 and 283,120.82

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Solution

The fourth proportional to 512,568.10, 707,329.56 and 283,120.82 is: 390,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,568.10 : 707,329.56 = 283,120.82 : x
  2. Step 2: Convert to fraction form
    512,568.10/707,329.56 = 283,120.82/x
  3. Step 3: Cross multiply
    512,568.10x = 707,329.56 × 283,120.82
  4. Step 4: Simplify right side
    512,568.10x = 200,259,725,214.98
  5. Step 5: Solve for x
    x = 200,259,725,214.98/512,568.10
  6. Step 6: Final answer
    x = 390,698.77

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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.