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Finding the Fourth Proportional to 274,048.85, 378,186.31 and 153,190.07

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Solution

The fourth proportional to 274,048.85, 378,186.31 and 153,190.07 is: 211,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,048.85 : 378,186.31 = 153,190.07 : x
  2. Step 2: Convert to fraction form
    274,048.85/378,186.31 = 153,190.07/x
  3. Step 3: Cross multiply
    274,048.85x = 378,186.31 × 153,190.07
  4. Step 4: Simplify right side
    274,048.85x = 57,934,387,301.94
  5. Step 5: Solve for x
    x = 57,934,387,301.94/274,048.85
  6. Step 6: Final answer
    x = 211,401.68

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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.