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Finding the Fourth Proportional to 457,847.54, 631,752.57 and 305,113.73

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Solution

The fourth proportional to 457,847.54, 631,752.57 and 305,113.73 is: 421,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,847.54 : 631,752.57 = 305,113.73 : x
  2. Step 2: Convert to fraction form
    457,847.54/631,752.57 = 305,113.73/x
  3. Step 3: Cross multiply
    457,847.54x = 631,752.57 × 305,113.73
  4. Step 4: Simplify right side
    457,847.54x = 192,756,383,069.79
  5. Step 5: Solve for x
    x = 192,756,383,069.79/457,847.54
  6. Step 6: Final answer
    x = 421,005.61

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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.