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Finding the Fourth Proportional to 407,169.53, 561,894.61 and 225,881.47

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Solution

The fourth proportional to 407,169.53, 561,894.61 and 225,881.47 is: 311,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,169.53 : 561,894.61 = 225,881.47 : x
  2. Step 2: Convert to fraction form
    407,169.53/561,894.61 = 225,881.47/x
  3. Step 3: Cross multiply
    407,169.53x = 561,894.61 × 225,881.47
  4. Step 4: Simplify right side
    407,169.53x = 126,921,577,682.40
  5. Step 5: Solve for x
    x = 126,921,577,682.40/407,169.53
  6. Step 6: Final answer
    x = 311,716.79

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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.