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Finding the Fourth Proportional to 644,881.38, 967,343.64 and 289,896.42

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Solution

The fourth proportional to 644,881.38, 967,343.64 and 289,896.42 is: 434,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,881.38 : 967,343.64 = 289,896.42 : x
  2. Step 2: Convert to fraction form
    644,881.38/967,343.64 = 289,896.42/x
  3. Step 3: Cross multiply
    644,881.38x = 967,343.64 × 289,896.42
  4. Step 4: Simplify right side
    644,881.38x = 280,429,458,145.77
  5. Step 5: Solve for x
    x = 280,429,458,145.77/644,881.38
  6. Step 6: Final answer
    x = 434,854.33

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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.