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Finding the Fourth Proportional to 408,292.83, 612,563.85 and 208,753.38

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Solution

The fourth proportional to 408,292.83, 612,563.85 and 208,753.38 is: 313,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,292.83 : 612,563.85 = 208,753.38 : x
  2. Step 2: Convert to fraction form
    408,292.83/612,563.85 = 208,753.38/x
  3. Step 3: Cross multiply
    408,292.83x = 612,563.85 × 208,753.38
  4. Step 4: Simplify right side
    408,292.83x = 127,874,774,153.31
  5. Step 5: Solve for x
    x = 127,874,774,153.31/408,292.83
  6. Step 6: Final answer
    x = 313,193.78

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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.