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Finding the Fourth Proportional to 298,770.40, 448,069.20 and 109,208.80

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Solution

The fourth proportional to 298,770.40, 448,069.20 and 109,208.80 is: 163,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,770.40 : 448,069.20 = 109,208.80 : x
  2. Step 2: Convert to fraction form
    298,770.40/448,069.20 = 109,208.80/x
  3. Step 3: Cross multiply
    298,770.40x = 448,069.20 × 109,208.80
  4. Step 4: Simplify right side
    298,770.40x = 48,933,099,648.96
  5. Step 5: Solve for x
    x = 48,933,099,648.96/298,770.40
  6. Step 6: Final answer
    x = 163,781.62

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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.