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Finding the Fourth Proportional to 518,932.45, 778,503.75 and 219,412.55

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Solution

The fourth proportional to 518,932.45, 778,503.75 and 219,412.55 is: 329,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,932.45 : 778,503.75 = 219,412.55 : x
  2. Step 2: Convert to fraction form
    518,932.45/778,503.75 = 219,412.55/x
  3. Step 3: Cross multiply
    518,932.45x = 778,503.75 × 219,412.55
  4. Step 4: Simplify right side
    518,932.45x = 170,813,490,333.54
  5. Step 5: Solve for x
    x = 170,813,490,333.54/518,932.45
  6. Step 6: Final answer
    x = 329,163.25

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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.