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Finding the Fourth Proportional to 252,467.72, 347,982.72 and 221,762.24

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Solution

The fourth proportional to 252,467.72, 347,982.72 and 221,762.24 is: 305,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,467.72 : 347,982.72 = 221,762.24 : x
  2. Step 2: Convert to fraction form
    252,467.72/347,982.72 = 221,762.24/x
  3. Step 3: Cross multiply
    252,467.72x = 347,982.72 × 221,762.24
  4. Step 4: Simplify right side
    252,467.72x = 77,169,427,468.49
  5. Step 5: Solve for x
    x = 77,169,427,468.49/252,467.72
  6. Step 6: Final answer
    x = 305,660.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.