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Finding the Fourth Proportional to 518,442, 715,449.97 and 279,978

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Solution

The fourth proportional to 518,442, 715,449.97 and 279,978 is: 386,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,442 : 715,449.97 = 279,978 : x
  2. Step 2: Convert to fraction form
    518,442/715,449.97 = 279,978/x
  3. Step 3: Cross multiply
    518,442x = 715,449.97 × 279,978
  4. Step 4: Simplify right side
    518,442x = 200,310,251,700.66
  5. Step 5: Solve for x
    x = 200,310,251,700.66/518,442
  6. Step 6: Final answer
    x = 386,369.65

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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.