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Finding the Fourth Proportional to 1,407,516.95, 1,942,321.36 and 762,923.31

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Solution

The fourth proportional to 1,407,516.95, 1,942,321.36 and 762,923.31 is: 1,052,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,516.95 : 1,942,321.36 = 762,923.31 : x
  2. Step 2: Convert to fraction form
    1,407,516.95/1,942,321.36 = 762,923.31/x
  3. Step 3: Cross multiply
    1,407,516.95x = 1,942,321.36 × 762,923.31
  4. Step 4: Simplify right side
    1,407,516.95x = 1,481,842,241,054.90
  5. Step 5: Solve for x
    x = 1,481,842,241,054.90/1,407,516.95
  6. Step 6: Final answer
    x = 1,052,805.97

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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.