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Finding the Fourth Proportional to 340,793.80, 470,297.38 and 197,638.76

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Solution

The fourth proportional to 340,793.80, 470,297.38 and 197,638.76 is: 272,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,793.80 : 470,297.38 = 197,638.76 : x
  2. Step 2: Convert to fraction form
    340,793.80/470,297.38 = 197,638.76/x
  3. Step 3: Cross multiply
    340,793.80x = 470,297.38 × 197,638.76
  4. Step 4: Simplify right side
    340,793.80x = 92,948,991,014.45
  5. Step 5: Solve for x
    x = 92,948,991,014.45/340,793.80
  6. Step 6: Final answer
    x = 272,742.61

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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.