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Finding the Fourth Proportional to 399,564.80, 598,569.60 and 221,753.60

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Solution

The fourth proportional to 399,564.80, 598,569.60 and 221,753.60 is: 332,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,564.80 : 598,569.60 = 221,753.60 : x
  2. Step 2: Convert to fraction form
    399,564.80/598,569.60 = 221,753.60/x
  3. Step 3: Cross multiply
    399,564.80x = 598,569.60 × 221,753.60
  4. Step 4: Simplify right side
    399,564.80x = 132,734,963,650.56
  5. Step 5: Solve for x
    x = 132,734,963,650.56/399,564.80
  6. Step 6: Final answer
    x = 332,198.84

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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.