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Finding the Fourth Proportional to 512,963.50, 707,867.64 and 283,508.94

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Solution

The fourth proportional to 512,963.50, 707,867.64 and 283,508.94 is: 391,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,963.50 : 707,867.64 = 283,508.94 : x
  2. Step 2: Convert to fraction form
    512,963.50/707,867.64 = 283,508.94/x
  3. Step 3: Cross multiply
    512,963.50x = 707,867.64 × 283,508.94
  4. Step 4: Simplify right side
    512,963.50x = 200,686,804,276.70
  5. Step 5: Solve for x
    x = 200,686,804,276.70/512,963.50
  6. Step 6: Final answer
    x = 391,230.18

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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.