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Finding the Fourth Proportional to 443,842.12, 665,757.66 and 422,325.70

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Solution

The fourth proportional to 443,842.12, 665,757.66 and 422,325.70 is: 633,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,842.12 : 665,757.66 = 422,325.70 : x
  2. Step 2: Convert to fraction form
    443,842.12/665,757.66 = 422,325.70/x
  3. Step 3: Cross multiply
    443,842.12x = 665,757.66 × 422,325.70
  4. Step 4: Simplify right side
    443,842.12x = 281,166,569,789.86
  5. Step 5: Solve for x
    x = 281,166,569,789.86/443,842.12
  6. Step 6: Final answer
    x = 633,483.30

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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.