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Finding the Fourth Proportional to 378,013.44, 567,089.76 and 156,414.72

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Solution

The fourth proportional to 378,013.44, 567,089.76 and 156,414.72 is: 234,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,013.44 : 567,089.76 = 156,414.72 : x
  2. Step 2: Convert to fraction form
    378,013.44/567,089.76 = 156,414.72/x
  3. Step 3: Cross multiply
    378,013.44x = 567,089.76 × 156,414.72
  4. Step 4: Simplify right side
    378,013.44x = 88,701,186,025.27
  5. Step 5: Solve for x
    x = 88,701,186,025.27/378,013.44
  6. Step 6: Final answer
    x = 234,650.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.