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Finding the Fourth Proportional to 1,961,216.40, 2,941,241.40 and 762,448.80

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Solution

The fourth proportional to 1,961,216.40, 2,941,241.40 and 762,448.80 is: 1,143,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,216.40 : 2,941,241.40 = 762,448.80 : x
  2. Step 2: Convert to fraction form
    1,961,216.40/2,941,241.40 = 762,448.80/x
  3. Step 3: Cross multiply
    1,961,216.40x = 2,941,241.40 × 762,448.80
  4. Step 4: Simplify right side
    1,961,216.40x = 2,242,545,975,940.32
  5. Step 5: Solve for x
    x = 2,242,545,975,940.32/1,961,216.40
  6. Step 6: Final answer
    x = 1,143,446.47

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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.