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Finding the Fourth Proportional to 519,219.90, 778,826.07 and 279,446.40

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Solution

The fourth proportional to 519,219.90, 778,826.07 and 279,446.40 is: 419,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,219.90 : 778,826.07 = 279,446.40 : x
  2. Step 2: Convert to fraction form
    519,219.90/778,826.07 = 279,446.40/x
  3. Step 3: Cross multiply
    519,219.90x = 778,826.07 × 279,446.40
  4. Step 4: Simplify right side
    519,219.90x = 217,640,141,487.65
  5. Step 5: Solve for x
    x = 217,640,141,487.65/519,219.90
  6. Step 6: Final answer
    x = 419,167.57

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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.