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Finding the Fourth Proportional to 274,047.85, 378,184.93 and 153,189.07

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Solution

The fourth proportional to 274,047.85, 378,184.93 and 153,189.07 is: 211,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,047.85 : 378,184.93 = 153,189.07 : x
  2. Step 2: Convert to fraction form
    274,047.85/378,184.93 = 153,189.07/x
  3. Step 3: Cross multiply
    274,047.85x = 378,184.93 × 153,189.07
  4. Step 4: Simplify right side
    274,047.85x = 57,933,795,823.79
  5. Step 5: Solve for x
    x = 57,933,795,823.79/274,047.85
  6. Step 6: Final answer
    x = 211,400.29

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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.