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Finding the Fourth Proportional to 407,141.60, 561,858.78 and 225,865.40

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Solution

The fourth proportional to 407,141.60, 561,858.78 and 225,865.40 is: 311,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,141.60 : 561,858.78 = 225,865.40 : x
  2. Step 2: Convert to fraction form
    407,141.60/561,858.78 = 225,865.40/x
  3. Step 3: Cross multiply
    407,141.60x = 561,858.78 × 225,865.40
  4. Step 4: Simplify right side
    407,141.60x = 126,904,458,088.21
  5. Step 5: Solve for x
    x = 126,904,458,088.21/407,141.60
  6. Step 6: Final answer
    x = 311,696.12

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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.