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Finding the Fourth Proportional to 511,832.16, 767,860.56 and 156,872.88

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Solution

The fourth proportional to 511,832.16, 767,860.56 and 156,872.88 is: 235,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,832.16 : 767,860.56 = 156,872.88 : x
  2. Step 2: Convert to fraction form
    511,832.16/767,860.56 = 156,872.88/x
  3. Step 3: Cross multiply
    511,832.16x = 767,860.56 × 156,872.88
  4. Step 4: Simplify right side
    511,832.16x = 120,456,497,485.61
  5. Step 5: Solve for x
    x = 120,456,497,485.61/511,832.16
  6. Step 6: Final answer
    x = 235,343.75

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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.