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Finding the Fourth Proportional to 518,944.91, 778,522.40 and 219,425

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Solution

The fourth proportional to 518,944.91, 778,522.40 and 219,425 is: 329,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,944.91 : 778,522.40 = 219,425 : x
  2. Step 2: Convert to fraction form
    518,944.91/778,522.40 = 219,425/x
  3. Step 3: Cross multiply
    518,944.91x = 778,522.40 × 219,425
  4. Step 4: Simplify right side
    518,944.91x = 170,827,277,620
  5. Step 5: Solve for x
    x = 170,827,277,620/518,944.91
  6. Step 6: Final answer
    x = 329,181.91

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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.