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Finding the Fourth Proportional to 519,078.72, 778,721.92 and 219,558

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Solution

The fourth proportional to 519,078.72, 778,721.92 and 219,558 is: 329,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,078.72 : 778,721.92 = 219,558 : x
  2. Step 2: Convert to fraction form
    519,078.72/778,721.92 = 219,558/x
  3. Step 3: Cross multiply
    519,078.72x = 778,721.92 × 219,558
  4. Step 4: Simplify right side
    519,078.72x = 170,974,627,311.36
  5. Step 5: Solve for x
    x = 170,974,627,311.36/519,078.72
  6. Step 6: Final answer
    x = 329,380.92

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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.