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Finding the Fourth Proportional to 1,409,936.80, 1,945,715.26 and 765,357.43

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Solution

The fourth proportional to 1,409,936.80, 1,945,715.26 and 765,357.43 is: 1,056,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,936.80 : 1,945,715.26 = 765,357.43 : x
  2. Step 2: Convert to fraction form
    1,409,936.80/1,945,715.26 = 765,357.43/x
  3. Step 3: Cross multiply
    1,409,936.80x = 1,945,715.26 × 765,357.43
  4. Step 4: Simplify right side
    1,409,936.80x = 1,489,167,636,288.42
  5. Step 5: Solve for x
    x = 1,489,167,636,288.42/1,409,936.80
  6. Step 6: Final answer
    x = 1,056,194.60

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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.