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Finding the Fourth Proportional to 10,929,843.20, 16,404,679.20 and 5,542,241.60

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Solution

The fourth proportional to 10,929,843.20, 16,404,679.20 and 5,542,241.60 is: 8,318,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929,843.20 : 16,404,679.20 = 5,542,241.60 : x
  2. Step 2: Convert to fraction form
    10,929,843.20/16,404,679.20 = 5,542,241.60/x
  3. Step 3: Cross multiply
    10,929,843.20x = 16,404,679.20 × 5,542,241.60
  4. Step 4: Simplify right side
    10,929,843.20x = 90,918,695,496,894.70
  5. Step 5: Solve for x
    x = 90,918,695,496,894.70/10,929,843.20
  6. Step 6: Final answer
    x = 8,318,389.74

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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.