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Finding the Fourth Proportional to 1,338,723.84, 1,847,448.96 and 765,728.64

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Solution

The fourth proportional to 1,338,723.84, 1,847,448.96 and 765,728.64 is: 1,056,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,723.84 : 1,847,448.96 = 765,728.64 : x
  2. Step 2: Convert to fraction form
    1,338,723.84/1,847,448.96 = 765,728.64/x
  3. Step 3: Cross multiply
    1,338,723.84x = 1,847,448.96 × 765,728.64
  4. Step 4: Simplify right side
    1,338,723.84x = 1,414,644,579,610.21
  5. Step 5: Solve for x
    x = 1,414,644,579,610.21/1,338,723.84
  6. Step 6: Final answer
    x = 1,056,711.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.