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Finding the Fourth Proportional to 305,464.66, 457,600.98 and 199,963.78

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Solution

The fourth proportional to 305,464.66, 457,600.98 and 199,963.78 is: 299,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,464.66 : 457,600.98 = 199,963.78 : x
  2. Step 2: Convert to fraction form
    305,464.66/457,600.98 = 199,963.78/x
  3. Step 3: Cross multiply
    305,464.66x = 457,600.98 × 199,963.78
  4. Step 4: Simplify right side
    305,464.66x = 91,503,623,014.37
  5. Step 5: Solve for x
    x = 91,503,623,014.37/305,464.66
  6. Step 6: Final answer
    x = 299,555.51

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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.