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Finding the Fourth Proportional to 869,218.40, 1,304,216.40 and 419,765.60

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Solution

The fourth proportional to 869,218.40, 1,304,216.40 and 419,765.60 is: 629,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,218.40 : 1,304,216.40 = 419,765.60 : x
  2. Step 2: Convert to fraction form
    869,218.40/1,304,216.40 = 419,765.60/x
  3. Step 3: Cross multiply
    869,218.40x = 1,304,216.40 × 419,765.60
  4. Step 4: Simplify right side
    869,218.40x = 547,465,179,675.84
  5. Step 5: Solve for x
    x = 547,465,179,675.84/869,218.40
  6. Step 6: Final answer
    x = 629,836.16

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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.