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Finding the Fourth Proportional to 511,872.42, 767,956.20 and 156,938.79

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Solution

The fourth proportional to 511,872.42, 767,956.20 and 156,938.79 is: 235,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,872.42 : 767,956.20 = 156,938.79 : x
  2. Step 2: Convert to fraction form
    511,872.42/767,956.20 = 156,938.79/x
  3. Step 3: Cross multiply
    511,872.42x = 767,956.20 × 156,938.79
  4. Step 4: Simplify right side
    511,872.42x = 120,522,116,801.00
  5. Step 5: Solve for x
    x = 120,522,116,801.00/511,872.42
  6. Step 6: Final answer
    x = 235,453.43

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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.