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Finding the Fourth Proportional to 305,645.30, 457,871.53 and 200,144.42

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Solution

The fourth proportional to 305,645.30, 457,871.53 and 200,144.42 is: 299,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,645.30 : 457,871.53 = 200,144.42 : x
  2. Step 2: Convert to fraction form
    305,645.30/457,871.53 = 200,144.42/x
  3. Step 3: Cross multiply
    305,645.30x = 457,871.53 × 200,144.42
  4. Step 4: Simplify right side
    305,645.30x = 91,640,431,806.36
  5. Step 5: Solve for x
    x = 91,640,431,806.36/305,645.30
  6. Step 6: Final answer
    x = 299,826.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.