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Finding the Fourth Proportional to 420,200.80, 629,134.80 and 408,536.80

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Solution

The fourth proportional to 420,200.80, 629,134.80 and 408,536.80 is: 611,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,200.80 : 629,134.80 = 408,536.80 : x
  2. Step 2: Convert to fraction form
    420,200.80/629,134.80 = 408,536.80/x
  3. Step 3: Cross multiply
    420,200.80x = 629,134.80 × 408,536.80
  4. Step 4: Simplify right side
    420,200.80x = 257,024,717,960.64
  5. Step 5: Solve for x
    x = 257,024,717,960.64/420,200.80
  6. Step 6: Final answer
    x = 611,671.18

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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.