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Finding the Fourth Proportional to 416,209.80, 624,401.10 and 135,748.20

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Solution

The fourth proportional to 416,209.80, 624,401.10 and 135,748.20 is: 203,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,209.80 : 624,401.10 = 135,748.20 : x
  2. Step 2: Convert to fraction form
    416,209.80/624,401.10 = 135,748.20/x
  3. Step 3: Cross multiply
    416,209.80x = 624,401.10 × 135,748.20
  4. Step 4: Simplify right side
    416,209.80x = 84,761,325,403.02
  5. Step 5: Solve for x
    x = 84,761,325,403.02/416,209.80
  6. Step 6: Final answer
    x = 203,650.48

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1.5x scale

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.