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Finding the Fourth Proportional to 416,013.57, 624,113.91 and 131,721.12

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Solution

The fourth proportional to 416,013.57, 624,113.91 and 131,721.12 is: 197,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,013.57 : 624,113.91 = 131,721.12 : x
  2. Step 2: Convert to fraction form
    416,013.57/624,113.91 = 131,721.12/x
  3. Step 3: Cross multiply
    416,013.57x = 624,113.91 × 131,721.12
  4. Step 4: Simplify right side
    416,013.57x = 82,208,983,232.78
  5. Step 5: Solve for x
    x = 82,208,983,232.78/416,013.57
  6. Step 6: Final answer
    x = 197,611.30

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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.