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Finding the Fourth Proportional to 412,233.60, 617,475.60 and 342,249.60

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Solution

The fourth proportional to 412,233.60, 617,475.60 and 342,249.60 is: 512,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,233.60 : 617,475.60 = 342,249.60 : x
  2. Step 2: Convert to fraction form
    412,233.60/617,475.60 = 342,249.60/x
  3. Step 3: Cross multiply
    412,233.60x = 617,475.60 × 342,249.60
  4. Step 4: Simplify right side
    412,233.60x = 211,330,777,109.76
  5. Step 5: Solve for x
    x = 211,330,777,109.76/412,233.60
  6. Step 6: Final answer
    x = 512,648.11

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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.