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Finding the Fourth Proportional to 516,978.66, 713,418.08 and 287,535.27

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Solution

The fourth proportional to 516,978.66, 713,418.08 and 287,535.27 is: 396,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,978.66 : 713,418.08 = 287,535.27 : x
  2. Step 2: Convert to fraction form
    516,978.66/713,418.08 = 287,535.27/x
  3. Step 3: Cross multiply
    516,978.66x = 713,418.08 × 287,535.27
  4. Step 4: Simplify right side
    516,978.66x = 205,132,860,255.68
  5. Step 5: Solve for x
    x = 205,132,860,255.68/516,978.66
  6. Step 6: Final answer
    x = 396,791.74

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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.