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Finding the Fourth Proportional to 288,338.94, 431,656.74 and 212,958.54

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Solution

The fourth proportional to 288,338.94, 431,656.74 and 212,958.54 is: 318,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,338.94 : 431,656.74 = 212,958.54 : x
  2. Step 2: Convert to fraction form
    288,338.94/431,656.74 = 212,958.54/x
  3. Step 3: Cross multiply
    288,338.94x = 431,656.74 × 212,958.54
  4. Step 4: Simplify right side
    288,338.94x = 91,924,989,131.56
  5. Step 5: Solve for x
    x = 91,924,989,131.56/288,338.94
  6. Step 6: Final answer
    x = 318,808.79

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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.