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Finding the Fourth Proportional to 605,730.70, 908,596.05 and 206,821.90

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Solution

The fourth proportional to 605,730.70, 908,596.05 and 206,821.90 is: 310,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,730.70 : 908,596.05 = 206,821.90 : x
  2. Step 2: Convert to fraction form
    605,730.70/908,596.05 = 206,821.90/x
  3. Step 3: Cross multiply
    605,730.70x = 908,596.05 × 206,821.90
  4. Step 4: Simplify right side
    605,730.70x = 187,917,561,393.50
  5. Step 5: Solve for x
    x = 187,917,561,393.50/605,730.70
  6. Step 6: Final answer
    x = 310,232.85

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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.