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Finding the Fourth Proportional to 247,016.94, 371,021.40 and 147,371.82

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Solution

The fourth proportional to 247,016.94, 371,021.40 and 147,371.82 is: 221,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,016.94 : 371,021.40 = 147,371.82 : x
  2. Step 2: Convert to fraction form
    247,016.94/371,021.40 = 147,371.82/x
  3. Step 3: Cross multiply
    247,016.94x = 371,021.40 × 147,371.82
  4. Step 4: Simplify right side
    247,016.94x = 54,678,098,976.95
  5. Step 5: Solve for x
    x = 54,678,098,976.95/247,016.94
  6. Step 6: Final answer
    x = 221,353.64

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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.