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Finding the Fourth Proportional to 305,644.30, 457,870.03 and 200,143.42

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Solution

The fourth proportional to 305,644.30, 457,870.03 and 200,143.42 is: 299,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,644.30 : 457,870.03 = 200,143.42 : x
  2. Step 2: Convert to fraction form
    305,644.30/457,870.03 = 200,143.42/x
  3. Step 3: Cross multiply
    305,644.30x = 457,870.03 × 200,143.42
  4. Step 4: Simplify right side
    305,644.30x = 91,639,673,719.70
  5. Step 5: Solve for x
    x = 91,639,673,719.70/305,644.30
  6. Step 6: Final answer
    x = 299,824.58

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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.