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Finding the Fourth Proportional to 516,556.90, 712,813.94 and 287,099.29

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Solution

The fourth proportional to 516,556.90, 712,813.94 and 287,099.29 is: 396,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,556.90 : 712,813.94 = 287,099.29 : x
  2. Step 2: Convert to fraction form
    516,556.90/712,813.94 = 287,099.29/x
  3. Step 3: Cross multiply
    516,556.90x = 712,813.94 × 287,099.29
  4. Step 4: Simplify right side
    516,556.90x = 204,648,376,608.25
  5. Step 5: Solve for x
    x = 204,648,376,608.25/516,556.90
  6. Step 6: Final answer
    x = 396,177.80

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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.