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Finding the Fourth Proportional to 1,407,407.50, 1,942,211.41 and 762,811.12

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Solution

The fourth proportional to 1,407,407.50, 1,942,211.41 and 762,811.12 is: 1,052,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,407.50 : 1,942,211.41 = 762,811.12 : x
  2. Step 2: Convert to fraction form
    1,407,407.50/1,942,211.41 = 762,811.12/x
  3. Step 3: Cross multiply
    1,407,407.50x = 1,942,211.41 × 762,811.12
  4. Step 4: Simplify right side
    1,407,407.50x = 1,481,540,460,938.88
  5. Step 5: Solve for x
    x = 1,481,540,460,938.88/1,407,407.50
  6. Step 6: Final answer
    x = 1,052,673.42

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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.