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Finding the Fourth Proportional to 869,446.40, 1,304,558.40 and 419,993.60

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Solution

The fourth proportional to 869,446.40, 1,304,558.40 and 419,993.60 is: 630,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,446.40 : 1,304,558.40 = 419,993.60 : x
  2. Step 2: Convert to fraction form
    869,446.40/1,304,558.40 = 419,993.60/x
  3. Step 3: Cross multiply
    869,446.40x = 1,304,558.40 × 419,993.60
  4. Step 4: Simplify right side
    869,446.40x = 547,906,178,826.24
  5. Step 5: Solve for x
    x = 547,906,178,826.24/869,446.40
  6. Step 6: Final answer
    x = 630,178.21

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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.