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Finding the Fourth Proportional to 279,594.40, 419,041.86 and 220,195.48

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Solution

The fourth proportional to 279,594.40, 419,041.86 and 220,195.48 is: 330,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,594.40 : 419,041.86 = 220,195.48 : x
  2. Step 2: Convert to fraction form
    279,594.40/419,041.86 = 220,195.48/x
  3. Step 3: Cross multiply
    279,594.40x = 419,041.86 × 220,195.48
  4. Step 4: Simplify right side
    279,594.40x = 92,271,123,502.79
  5. Step 5: Solve for x
    x = 92,271,123,502.79/279,594.40
  6. Step 6: Final answer
    x = 330,017.78

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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.