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Finding the Fourth Proportional to 274,051.76, 378,183.46 and 153,193.28

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Solution

The fourth proportional to 274,051.76, 378,183.46 and 153,193.28 is: 211,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,051.76 : 378,183.46 = 153,193.28 : x
  2. Step 2: Convert to fraction form
    274,051.76/378,183.46 = 153,193.28/x
  3. Step 3: Cross multiply
    274,051.76x = 378,183.46 × 153,193.28
  4. Step 4: Simplify right side
    274,051.76x = 57,935,164,679.15
  5. Step 5: Solve for x
    x = 57,935,164,679.15/274,051.76
  6. Step 6: Final answer
    x = 211,402.27

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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.