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Finding the Fourth Proportional to 519,477.26, 778,625.85 and 219,770.78

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Solution

The fourth proportional to 519,477.26, 778,625.85 and 219,770.78 is: 329,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,477.26 : 778,625.85 = 219,770.78 : x
  2. Step 2: Convert to fraction form
    519,477.26/778,625.85 = 219,770.78/x
  3. Step 3: Cross multiply
    519,477.26x = 778,625.85 × 219,770.78
  4. Step 4: Simplify right side
    519,477.26x = 171,119,210,382.66
  5. Step 5: Solve for x
    x = 171,119,210,382.66/519,477.26
  6. Step 6: Final answer
    x = 329,406.55

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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.