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Finding the Fourth Proportional to 416,255.16, 624,381.92 and 321,622.86

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Solution

The fourth proportional to 416,255.16, 624,381.92 and 321,622.86 is: 482,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,255.16 : 624,381.92 = 321,622.86 : x
  2. Step 2: Convert to fraction form
    416,255.16/624,381.92 = 321,622.86/x
  3. Step 3: Cross multiply
    416,255.16x = 624,381.92 × 321,622.86
  4. Step 4: Simplify right side
    416,255.16x = 200,815,498,842.69
  5. Step 5: Solve for x
    x = 200,815,498,842.69/416,255.16
  6. Step 6: Final answer
    x = 482,433.66

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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.