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Finding the Fourth Proportional to 407,135.60, 561,850.52 and 225,859.40

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Solution

The fourth proportional to 407,135.60, 561,850.52 and 225,859.40 is: 311,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,135.60 : 561,850.52 = 225,859.40 : x
  2. Step 2: Convert to fraction form
    407,135.60/561,850.52 = 225,859.40/x
  3. Step 3: Cross multiply
    407,135.60x = 561,850.52 × 225,859.40
  4. Step 4: Simplify right side
    407,135.60x = 126,899,221,336.89
  5. Step 5: Solve for x
    x = 126,899,221,336.89/407,135.60
  6. Step 6: Final answer
    x = 311,687.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.