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Finding the Fourth Proportional to 518,933.96, 778,506 and 219,414.05

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Solution

The fourth proportional to 518,933.96, 778,506 and 219,414.05 is: 329,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,933.96 : 778,506 = 219,414.05 : x
  2. Step 2: Convert to fraction form
    518,933.96/778,506 = 219,414.05/x
  3. Step 3: Cross multiply
    518,933.96x = 778,506 × 219,414.05
  4. Step 4: Simplify right side
    518,933.96x = 170,815,150,516.77
  5. Step 5: Solve for x
    x = 170,815,150,516.77/518,933.96
  6. Step 6: Final answer
    x = 329,165.49

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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.