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Finding the Fourth Proportional to 408,408.65, 612,651.40 and 120,220.48

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Solution

The fourth proportional to 408,408.65, 612,651.40 and 120,220.48 is: 180,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,408.65 : 612,651.40 = 120,220.48 : x
  2. Step 2: Convert to fraction form
    408,408.65/612,651.40 = 120,220.48/x
  3. Step 3: Cross multiply
    408,408.65x = 612,651.40 × 120,220.48
  4. Step 4: Simplify right side
    408,408.65x = 73,653,246,461.47
  5. Step 5: Solve for x
    x = 73,653,246,461.47/408,408.65
  6. Step 6: Final answer
    x = 180,342.03

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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.