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Finding the Fourth Proportional to 420,047.20, 629,853.20 and 124,520.80

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Solution

The fourth proportional to 420,047.20, 629,853.20 and 124,520.80 is: 186,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,047.20 : 629,853.20 = 124,520.80 : x
  2. Step 2: Convert to fraction form
    420,047.20/629,853.20 = 124,520.80/x
  3. Step 3: Cross multiply
    420,047.20x = 629,853.20 × 124,520.80
  4. Step 4: Simplify right side
    420,047.20x = 78,429,824,346.56
  5. Step 5: Solve for x
    x = 78,429,824,346.56/420,047.20
  6. Step 6: Final answer
    x = 186,716.69

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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.