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Finding the Fourth Proportional to 518,538, 715,582.92 and 280,074

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Solution

The fourth proportional to 518,538, 715,582.92 and 280,074 is: 386,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,538 : 715,582.92 = 280,074 : x
  2. Step 2: Convert to fraction form
    518,538/715,582.92 = 280,074/x
  3. Step 3: Cross multiply
    518,538x = 715,582.92 × 280,074
  4. Step 4: Simplify right side
    518,538x = 200,416,170,736.08
  5. Step 5: Solve for x
    x = 200,416,170,736.08/518,538
  6. Step 6: Final answer
    x = 386,502.38

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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.