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Finding the Fourth Proportional to 318,324.42, 477,492.12 and 107,967.78

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Solution

The fourth proportional to 318,324.42, 477,492.12 and 107,967.78 is: 161,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,324.42 : 477,492.12 = 107,967.78 : x
  2. Step 2: Convert to fraction form
    318,324.42/477,492.12 = 107,967.78/x
  3. Step 3: Cross multiply
    318,324.42x = 477,492.12 × 107,967.78
  4. Step 4: Simplify right side
    318,324.42x = 51,553,764,163.89
  5. Step 5: Solve for x
    x = 51,553,764,163.89/318,324.42
  6. Step 6: Final answer
    x = 161,953.53

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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.