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Finding the Fourth Proportional to 399,559.20, 551,408.42 and 229,793.44

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Solution

The fourth proportional to 399,559.20, 551,408.42 and 229,793.44 is: 317,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,559.20 : 551,408.42 = 229,793.44 : x
  2. Step 2: Convert to fraction form
    399,559.20/551,408.42 = 229,793.44/x
  3. Step 3: Cross multiply
    399,559.20x = 551,408.42 × 229,793.44
  4. Step 4: Simplify right side
    399,559.20x = 126,710,037,676.77
  5. Step 5: Solve for x
    x = 126,710,037,676.77/399,559.20
  6. Step 6: Final answer
    x = 317,124.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.