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Finding the Fourth Proportional to 304,716.72, 420,449.40 and 168,744.08

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Solution

The fourth proportional to 304,716.72, 420,449.40 and 168,744.08 is: 232,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,716.72 : 420,449.40 = 168,744.08 : x
  2. Step 2: Convert to fraction form
    304,716.72/420,449.40 = 168,744.08/x
  3. Step 3: Cross multiply
    304,716.72x = 420,449.40 × 168,744.08
  4. Step 4: Simplify right side
    304,716.72x = 70,948,347,189.55
  5. Step 5: Solve for x
    x = 70,948,347,189.55/304,716.72
  6. Step 6: Final answer
    x = 232,833.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.