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Finding the Fourth Proportional to 305,644.55, 457,870.41 and 200,143.67

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Solution

The fourth proportional to 305,644.55, 457,870.41 and 200,143.67 is: 299,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,644.55 : 457,870.41 = 200,143.67 : x
  2. Step 2: Convert to fraction form
    305,644.55/457,870.41 = 200,143.67/x
  3. Step 3: Cross multiply
    305,644.55x = 457,870.41 × 200,143.67
  4. Step 4: Simplify right side
    305,644.55x = 91,639,863,241.09
  5. Step 5: Solve for x
    x = 91,639,863,241.09/305,644.55
  6. Step 6: Final answer
    x = 299,824.95

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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.