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Finding the Fourth Proportional to 305,658.83, 457,891.80 and 200,157.95

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Solution

The fourth proportional to 305,658.83, 457,891.80 and 200,157.95 is: 299,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,658.83 : 457,891.80 = 200,157.95 : x
  2. Step 2: Convert to fraction form
    305,658.83/457,891.80 = 200,157.95/x
  3. Step 3: Cross multiply
    305,658.83x = 457,891.80 × 200,157.95
  4. Step 4: Simplify right side
    305,658.83x = 91,650,681,720.35
  5. Step 5: Solve for x
    x = 91,650,681,720.35/305,658.83
  6. Step 6: Final answer
    x = 299,846.35

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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.