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Finding the Fourth Proportional to 451,721.80, 677,474.70 and 261,771.40

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Solution

The fourth proportional to 451,721.80, 677,474.70 and 261,771.40 is: 392,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,721.80 : 677,474.70 = 261,771.40 : x
  2. Step 2: Convert to fraction form
    451,721.80/677,474.70 = 261,771.40/x
  3. Step 3: Cross multiply
    451,721.80x = 677,474.70 × 261,771.40
  4. Step 4: Simplify right side
    451,721.80x = 177,343,500,683.58
  5. Step 5: Solve for x
    x = 177,343,500,683.58/451,721.80
  6. Step 6: Final answer
    x = 392,594.51

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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.