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Finding the Fourth Proportional to 518,694.68, 777,854.81 and 219,198.40

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Solution

The fourth proportional to 518,694.68, 777,854.81 and 219,198.40 is: 328,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,694.68 : 777,854.81 = 219,198.40 : x
  2. Step 2: Convert to fraction form
    518,694.68/777,854.81 = 219,198.40/x
  3. Step 3: Cross multiply
    518,694.68x = 777,854.81 × 219,198.40
  4. Step 4: Simplify right side
    518,694.68x = 170,504,528,387.66
  5. Step 5: Solve for x
    x = 170,504,528,387.66/518,694.68
  6. Step 6: Final answer
    x = 328,718.48

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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.