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Finding the Fourth Proportional to 396,678.36, 595,254 and 143,978.61

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Solution

The fourth proportional to 396,678.36, 595,254 and 143,978.61 is: 216,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,678.36 : 595,254 = 143,978.61 : x
  2. Step 2: Convert to fraction form
    396,678.36/595,254 = 143,978.61/x
  3. Step 3: Cross multiply
    396,678.36x = 595,254 × 143,978.61
  4. Step 4: Simplify right side
    396,678.36x = 85,703,843,516.94
  5. Step 5: Solve for x
    x = 85,703,843,516.94/396,678.36
  6. Step 6: Final answer
    x = 216,053.74

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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.