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Finding the Fourth Proportional to 274,467.76, 378,782.20 and 153,606.58

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Solution

The fourth proportional to 274,467.76, 378,782.20 and 153,606.58 is: 211,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,467.76 : 378,782.20 = 153,606.58 : x
  2. Step 2: Convert to fraction form
    274,467.76/378,782.20 = 153,606.58/x
  3. Step 3: Cross multiply
    274,467.76x = 378,782.20 × 153,606.58
  4. Step 4: Simplify right side
    274,467.76x = 58,183,438,306.88
  5. Step 5: Solve for x
    x = 58,183,438,306.88/274,467.76
  6. Step 6: Final answer
    x = 211,986.42

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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.