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Finding the Fourth Proportional to 511,408.88, 766,990.16 and 156,425.92

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Solution

The fourth proportional to 511,408.88, 766,990.16 and 156,425.92 is: 234,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,408.88 : 766,990.16 = 156,425.92 : x
  2. Step 2: Convert to fraction form
    511,408.88/766,990.16 = 156,425.92/x
  3. Step 3: Cross multiply
    511,408.88x = 766,990.16 × 156,425.92
  4. Step 4: Simplify right side
    511,408.88x = 119,977,141,408.95
  5. Step 5: Solve for x
    x = 119,977,141,408.95/511,408.88
  6. Step 6: Final answer
    x = 234,601.21

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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.