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Finding the Fourth Proportional to 408,684.51, 612,721.34 and 281,963.15

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Solution

The fourth proportional to 408,684.51, 612,721.34 and 281,963.15 is: 422,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,684.51 : 612,721.34 = 281,963.15 : x
  2. Step 2: Convert to fraction form
    408,684.51/612,721.34 = 281,963.15/x
  3. Step 3: Cross multiply
    408,684.51x = 612,721.34 × 281,963.15
  4. Step 4: Simplify right side
    408,684.51x = 172,764,841,335.33
  5. Step 5: Solve for x
    x = 172,764,841,335.33/408,684.51
  6. Step 6: Final answer
    x = 422,734.01

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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.