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Finding the Fourth Proportional to 511,925.67, 768,000.56 and 156,967.38

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Solution

The fourth proportional to 511,925.67, 768,000.56 and 156,967.38 is: 235,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,925.67 : 768,000.56 = 156,967.38 : x
  2. Step 2: Convert to fraction form
    511,925.67/768,000.56 = 156,967.38/x
  3. Step 3: Cross multiply
    511,925.67x = 768,000.56 × 156,967.38
  4. Step 4: Simplify right side
    511,925.67x = 120,551,034,956.90
  5. Step 5: Solve for x
    x = 120,551,034,956.90/511,925.67
  6. Step 6: Final answer
    x = 235,485.43

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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.