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Finding the Fourth Proportional to 305,447.36, 457,678.56 and 165,272

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Solution

The fourth proportional to 305,447.36, 457,678.56 and 165,272 is: 247,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,447.36 : 457,678.56 = 165,272 : x
  2. Step 2: Convert to fraction form
    305,447.36/457,678.56 = 165,272/x
  3. Step 3: Cross multiply
    305,447.36x = 457,678.56 × 165,272
  4. Step 4: Simplify right side
    305,447.36x = 75,641,450,968.32
  5. Step 5: Solve for x
    x = 75,641,450,968.32/305,447.36
  6. Step 6: Final answer
    x = 247,641.53

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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.