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Finding the Fourth Proportional to 318,410.10, 477,615.15 and 212,121.90

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Solution

The fourth proportional to 318,410.10, 477,615.15 and 212,121.90 is: 318,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,410.10 : 477,615.15 = 212,121.90 : x
  2. Step 2: Convert to fraction form
    318,410.10/477,615.15 = 212,121.90/x
  3. Step 3: Cross multiply
    318,410.10x = 477,615.15 × 212,121.90
  4. Step 4: Simplify right side
    318,410.10x = 101,312,633,086.79
  5. Step 5: Solve for x
    x = 101,312,633,086.79/318,410.10
  6. Step 6: Final answer
    x = 318,182.85

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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.