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Finding the Fourth Proportional to 518,942.91, 778,519.40 and 219,423

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Solution

The fourth proportional to 518,942.91, 778,519.40 and 219,423 is: 329,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,942.91 : 778,519.40 = 219,423 : x
  2. Step 2: Convert to fraction form
    518,942.91/778,519.40 = 219,423/x
  3. Step 3: Cross multiply
    518,942.91x = 778,519.40 × 219,423
  4. Step 4: Simplify right side
    518,942.91x = 170,825,061,209.09
  5. Step 5: Solve for x
    x = 170,825,061,209.09/518,942.91
  6. Step 6: Final answer
    x = 329,178.91

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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.