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Finding the Fourth Proportional to 511,500, 767,360.76 and 195,956.92

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Solution

The fourth proportional to 511,500, 767,360.76 and 195,956.92 is: 293,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,500 : 767,360.76 = 195,956.92 : x
  2. Step 2: Convert to fraction form
    511,500/767,360.76 = 195,956.92/x
  3. Step 3: Cross multiply
    511,500x = 767,360.76 × 195,956.92
  4. Step 4: Simplify right side
    511,500x = 150,369,651,058.46
  5. Step 5: Solve for x
    x = 150,369,651,058.46/511,500
  6. Step 6: Final answer
    x = 293,977.81

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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.