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Finding the Fourth Proportional to 644,889.28, 967,355.60 and 289,904.48

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Solution

The fourth proportional to 644,889.28, 967,355.60 and 289,904.48 is: 434,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,889.28 : 967,355.60 = 289,904.48 : x
  2. Step 2: Convert to fraction form
    644,889.28/967,355.60 = 289,904.48/x
  3. Step 3: Cross multiply
    644,889.28x = 967,355.60 × 289,904.48
  4. Step 4: Simplify right side
    644,889.28x = 280,440,722,193.09
  5. Step 5: Solve for x
    x = 280,440,722,193.09/644,889.28
  6. Step 6: Final answer
    x = 434,866.47

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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.