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Finding the Fourth Proportional to 288,406.36, 431,757.60 and 213,025.96

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Solution

The fourth proportional to 288,406.36, 431,757.60 and 213,025.96 is: 318,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,406.36 : 431,757.60 = 213,025.96 : x
  2. Step 2: Convert to fraction form
    288,406.36/431,757.60 = 213,025.96/x
  3. Step 3: Cross multiply
    288,406.36x = 431,757.60 × 213,025.96
  4. Step 4: Simplify right side
    288,406.36x = 91,975,577,227.30
  5. Step 5: Solve for x
    x = 91,975,577,227.30/288,406.36
  6. Step 6: Final answer
    x = 318,909.67

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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.