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Finding the Fourth Proportional to 305,449.36, 457,681.56 and 165,274

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Solution

The fourth proportional to 305,449.36, 457,681.56 and 165,274 is: 247,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,449.36 : 457,681.56 = 165,274 : x
  2. Step 2: Convert to fraction form
    305,449.36/457,681.56 = 165,274/x
  3. Step 3: Cross multiply
    305,449.36x = 457,681.56 × 165,274
  4. Step 4: Simplify right side
    305,449.36x = 75,642,862,147.44
  5. Step 5: Solve for x
    x = 75,642,862,147.44/305,449.36
  6. Step 6: Final answer
    x = 247,644.53

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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.