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Finding the Fourth Proportional to 395,082.65, 545,223.36 and 225,313.13

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Solution

The fourth proportional to 395,082.65, 545,223.36 and 225,313.13 is: 310,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,082.65 : 545,223.36 = 225,313.13 : x
  2. Step 2: Convert to fraction form
    395,082.65/545,223.36 = 225,313.13/x
  3. Step 3: Cross multiply
    395,082.65x = 545,223.36 × 225,313.13
  4. Step 4: Simplify right side
    395,082.65x = 122,845,981,790.72
  5. Step 5: Solve for x
    x = 122,845,981,790.72/395,082.65
  6. Step 6: Final answer
    x = 310,937.42

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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.