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Finding the Fourth Proportional to 305,658.45, 457,891.23 and 200,157.57

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Solution

The fourth proportional to 305,658.45, 457,891.23 and 200,157.57 is: 299,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,658.45 : 457,891.23 = 200,157.57 : x
  2. Step 2: Convert to fraction form
    305,658.45/457,891.23 = 200,157.57/x
  3. Step 3: Cross multiply
    305,658.45x = 457,891.23 × 200,157.57
  4. Step 4: Simplify right side
    305,658.45x = 91,650,395,921.11
  5. Step 5: Solve for x
    x = 91,650,395,921.11/305,658.45
  6. Step 6: Final answer
    x = 299,845.78

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1.5x scale

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.