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Finding the Fourth Proportional to 511,408.38, 767,143.32 and 156,425.47

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Solution

The fourth proportional to 511,408.38, 767,143.32 and 156,425.47 is: 234,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,408.38 : 767,143.32 = 156,425.47 : x
  2. Step 2: Convert to fraction form
    511,408.38/767,143.32 = 156,425.47/x
  3. Step 3: Cross multiply
    511,408.38x = 767,143.32 × 156,425.47
  4. Step 4: Simplify right side
    511,408.38x = 120,000,753,606.23
  5. Step 5: Solve for x
    x = 120,000,753,606.23/511,408.38
  6. Step 6: Final answer
    x = 234,647.61

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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.