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Finding the Fourth Proportional to 9,781,418.40, 14,672,127.60 and 8,198,905.20

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Solution

The fourth proportional to 9,781,418.40, 14,672,127.60 and 8,198,905.20 is: 12,298,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781,418.40 : 14,672,127.60 = 8,198,905.20 : x
  2. Step 2: Convert to fraction form
    9,781,418.40/14,672,127.60 = 8,198,905.20/x
  3. Step 3: Cross multiply
    9,781,418.40x = 14,672,127.60 × 8,198,905.20
  4. Step 4: Simplify right side
    9,781,418.40x = 120,295,383,274,703.52
  5. Step 5: Solve for x
    x = 120,295,383,274,703.52/9,781,418.40
  6. Step 6: Final answer
    x = 12,298,357.80

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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.