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Finding the Fourth Proportional to 416,447.80, 624,380.10 and 163,630.60

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Solution

The fourth proportional to 416,447.80, 624,380.10 and 163,630.60 is: 245,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,447.80 : 624,380.10 = 163,630.60 : x
  2. Step 2: Convert to fraction form
    416,447.80/624,380.10 = 163,630.60/x
  3. Step 3: Cross multiply
    416,447.80x = 624,380.10 × 163,630.60
  4. Step 4: Simplify right side
    416,447.80x = 102,167,690,391.06
  5. Step 5: Solve for x
    x = 102,167,690,391.06/416,447.80
  6. Step 6: Final answer
    x = 245,331.32

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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.