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Finding the Fourth Proportional to 408,408.57, 612,651.28 and 120,220.40

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Solution

The fourth proportional to 408,408.57, 612,651.28 and 120,220.40 is: 180,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,408.57 : 612,651.28 = 120,220.40 : x
  2. Step 2: Convert to fraction form
    408,408.57/612,651.28 = 120,220.40/x
  3. Step 3: Cross multiply
    408,408.57x = 612,651.28 × 120,220.40
  4. Step 4: Simplify right side
    408,408.57x = 73,653,184,490.97
  5. Step 5: Solve for x
    x = 73,653,184,490.97/408,408.57
  6. Step 6: Final answer
    x = 180,341.92

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1.5x scale

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.