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Finding the Fourth Proportional to 305,137.85, 457,644.21 and 115,532.80

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Solution

The fourth proportional to 305,137.85, 457,644.21 and 115,532.80 is: 173,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,137.85 : 457,644.21 = 115,532.80 : x
  2. Step 2: Convert to fraction form
    305,137.85/457,644.21 = 115,532.80/x
  3. Step 3: Cross multiply
    305,137.85x = 457,644.21 × 115,532.80
  4. Step 4: Simplify right side
    305,137.85x = 52,872,915,407.73
  5. Step 5: Solve for x
    x = 52,872,915,407.73/305,137.85
  6. Step 6: Final answer
    x = 173,275.51

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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.