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Finding the Fourth Proportional to 519,679.20, 778,862.70 and 252,865.20

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Solution

The fourth proportional to 519,679.20, 778,862.70 and 252,865.20 is: 378,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,679.20 : 778,862.70 = 252,865.20 : x
  2. Step 2: Convert to fraction form
    519,679.20/778,862.70 = 252,865.20/x
  3. Step 3: Cross multiply
    519,679.20x = 778,862.70 × 252,865.20
  4. Step 4: Simplify right side
    519,679.20x = 196,947,272,408.04
  5. Step 5: Solve for x
    x = 196,947,272,408.04/519,679.20
  6. Step 6: Final answer
    x = 378,978.56

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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.