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Finding the Fourth Proportional to 511,364.70, 767,157.75 and 195,821.61

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Solution

The fourth proportional to 511,364.70, 767,157.75 and 195,821.61 is: 293,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,364.70 : 767,157.75 = 195,821.61 : x
  2. Step 2: Convert to fraction form
    511,364.70/767,157.75 = 195,821.61/x
  3. Step 3: Cross multiply
    511,364.70x = 767,157.75 × 195,821.61
  4. Step 4: Simplify right side
    511,364.70x = 150,226,065,728.98
  5. Step 5: Solve for x
    x = 150,226,065,728.98/511,364.70
  6. Step 6: Final answer
    x = 293,774.81

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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.