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Finding the Fourth Proportional to 1,407,570.48, 1,942,395.36 and 762,976.80

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Solution

The fourth proportional to 1,407,570.48, 1,942,395.36 and 762,976.80 is: 1,052,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,570.48 : 1,942,395.36 = 762,976.80 : x
  2. Step 2: Convert to fraction form
    1,407,570.48/1,942,395.36 = 762,976.80/x
  3. Step 3: Cross multiply
    1,407,570.48x = 1,942,395.36 × 762,976.80
  4. Step 4: Simplify right side
    1,407,570.48x = 1,482,002,596,107.65
  5. Step 5: Solve for x
    x = 1,482,002,596,107.65/1,407,570.48
  6. Step 6: Final answer
    x = 1,052,879.85

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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.