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Finding the Fourth Proportional to 644,906.40, 966,898.80 and 289,629.60

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Solution

The fourth proportional to 644,906.40, 966,898.80 and 289,629.60 is: 434,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,906.40 : 966,898.80 = 289,629.60 : x
  2. Step 2: Convert to fraction form
    644,906.40/966,898.80 = 289,629.60/x
  3. Step 3: Cross multiply
    644,906.40x = 966,898.80 × 289,629.60
  4. Step 4: Simplify right side
    644,906.40x = 280,042,512,684.48
  5. Step 5: Solve for x
    x = 280,042,512,684.48/644,906.40
  6. Step 6: Final answer
    x = 434,237.45

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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.