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Finding the Fourth Proportional to 514,273.92, 709,772.40 and 287,934

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Solution

The fourth proportional to 514,273.92, 709,772.40 and 287,934 is: 397,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,273.92 : 709,772.40 = 287,934 : x
  2. Step 2: Convert to fraction form
    514,273.92/709,772.40 = 287,934/x
  3. Step 3: Cross multiply
    514,273.92x = 709,772.40 × 287,934
  4. Step 4: Simplify right side
    514,273.92x = 204,367,606,221.60
  5. Step 5: Solve for x
    x = 204,367,606,221.60/514,273.92
  6. Step 6: Final answer
    x = 397,390.57

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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.