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Finding the Fourth Proportional to 408,208.52, 612,324.30 and 112,720.52

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Solution

The fourth proportional to 408,208.52, 612,324.30 and 112,720.52 is: 169,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,208.52 : 612,324.30 = 112,720.52 : x
  2. Step 2: Convert to fraction form
    408,208.52/612,324.30 = 112,720.52/x
  3. Step 3: Cross multiply
    408,208.52x = 612,324.30 × 112,720.52
  4. Step 4: Simplify right side
    408,208.52x = 69,021,513,504.64
  5. Step 5: Solve for x
    x = 69,021,513,504.64/408,208.52
  6. Step 6: Final answer
    x = 169,083.96

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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.