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Finding the Fourth Proportional to 378,589.86, 567,718.49 and 141,766.43

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Solution

The fourth proportional to 378,589.86, 567,718.49 and 141,766.43 is: 212,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,589.86 : 567,718.49 = 141,766.43 : x
  2. Step 2: Convert to fraction form
    378,589.86/567,718.49 = 141,766.43/x
  3. Step 3: Cross multiply
    378,589.86x = 567,718.49 × 141,766.43
  4. Step 4: Simplify right side
    378,589.86x = 80,483,420,024.87
  5. Step 5: Solve for x
    x = 80,483,420,024.87/378,589.86
  6. Step 6: Final answer
    x = 212,587.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.