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Finding the Fourth Proportional to 680,745.40, 1,019,562.90 and 400,809.40

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Solution

The fourth proportional to 680,745.40, 1,019,562.90 and 400,809.40 is: 600,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,745.40 : 1,019,562.90 = 400,809.40 : x
  2. Step 2: Convert to fraction form
    680,745.40/1,019,562.90 = 400,809.40/x
  3. Step 3: Cross multiply
    680,745.40x = 1,019,562.90 × 400,809.40
  4. Step 4: Simplify right side
    680,745.40x = 408,650,394,211.26
  5. Step 5: Solve for x
    x = 408,650,394,211.26/680,745.40
  6. Step 6: Final answer
    x = 600,298.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.