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Finding the Fourth Proportional to 318,964.68, 478,029.42 and 161,107.56

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Solution

The fourth proportional to 318,964.68, 478,029.42 and 161,107.56 is: 241,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,964.68 : 478,029.42 = 161,107.56 : x
  2. Step 2: Convert to fraction form
    318,964.68/478,029.42 = 161,107.56/x
  3. Step 3: Cross multiply
    318,964.68x = 478,029.42 × 161,107.56
  4. Step 4: Simplify right side
    318,964.68x = 77,014,153,464.42
  5. Step 5: Solve for x
    x = 77,014,153,464.42/318,964.68
  6. Step 6: Final answer
    x = 241,450.41

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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.