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Finding the Fourth Proportional to 279,904.65, 419,241.52 and 231,322.67

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Solution

The fourth proportional to 279,904.65, 419,241.52 and 231,322.67 is: 346,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,904.65 : 419,241.52 = 231,322.67 : x
  2. Step 2: Convert to fraction form
    279,904.65/419,241.52 = 231,322.67/x
  3. Step 3: Cross multiply
    279,904.65x = 419,241.52 × 231,322.67
  4. Step 4: Simplify right side
    279,904.65x = 96,980,067,546.36
  5. Step 5: Solve for x
    x = 96,980,067,546.36/279,904.65
  6. Step 6: Final answer
    x = 346,475.38

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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.