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Finding the Fourth Proportional to 515,889, 712,209.31 and 361,078.56

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Solution

The fourth proportional to 515,889, 712,209.31 and 361,078.56 is: 498,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,889 : 712,209.31 = 361,078.56 : x
  2. Step 2: Convert to fraction form
    515,889/712,209.31 = 361,078.56/x
  3. Step 3: Cross multiply
    515,889x = 712,209.31 × 361,078.56
  4. Step 4: Simplify right side
    515,889x = 257,163,511,170.70
  5. Step 5: Solve for x
    x = 257,163,511,170.70/515,889
  6. Step 6: Final answer
    x = 498,486.13

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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.