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Finding the Fourth Proportional to 457,642.85, 631,469.62 and 304,908.84

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Solution

The fourth proportional to 457,642.85, 631,469.62 and 304,908.84 is: 420,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,642.85 : 631,469.62 = 304,908.84 : x
  2. Step 2: Convert to fraction form
    457,642.85/631,469.62 = 304,908.84/x
  3. Step 3: Cross multiply
    457,642.85x = 631,469.62 × 304,908.84
  4. Step 4: Simplify right side
    457,642.85x = 192,540,669,710.58
  5. Step 5: Solve for x
    x = 192,540,669,710.58/457,642.85
  6. Step 6: Final answer
    x = 420,722.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.