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Finding the Fourth Proportional to 408,409.58, 612,652.78 and 120,221.41

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Solution

The fourth proportional to 408,409.58, 612,652.78 and 120,221.41 is: 180,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,409.58 : 612,652.78 = 120,221.41 : x
  2. Step 2: Convert to fraction form
    408,409.58/612,652.78 = 120,221.41/x
  3. Step 3: Cross multiply
    408,409.58x = 612,652.78 × 120,221.41
  4. Step 4: Simplify right side
    408,409.58x = 73,653,977,988.76
  5. Step 5: Solve for x
    x = 73,653,977,988.76/408,409.58
  6. Step 6: Final answer
    x = 180,343.42

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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.