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Finding the Fourth Proportional to 494,429.80, 741,644.70 and 420,946.60

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Solution

The fourth proportional to 494,429.80, 741,644.70 and 420,946.60 is: 631,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,429.80 : 741,644.70 = 420,946.60 : x
  2. Step 2: Convert to fraction form
    494,429.80/741,644.70 = 420,946.60/x
  3. Step 3: Cross multiply
    494,429.80x = 741,644.70 × 420,946.60
  4. Step 4: Simplify right side
    494,429.80x = 312,192,814,873.02
  5. Step 5: Solve for x
    x = 312,192,814,873.02/494,429.80
  6. Step 6: Final answer
    x = 631,419.90

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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.