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Finding the Fourth Proportional to 407,155.40, 561,873.96 and 225,894.80

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Solution

The fourth proportional to 407,155.40, 561,873.96 and 225,894.80 is: 311,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,155.40 : 561,873.96 = 225,894.80 : x
  2. Step 2: Convert to fraction form
    407,155.40/561,873.96 = 225,894.80/x
  3. Step 3: Cross multiply
    407,155.40x = 561,873.96 × 225,894.80
  4. Step 4: Simplify right side
    407,155.40x = 126,924,405,819.41
  5. Step 5: Solve for x
    x = 126,924,405,819.41/407,155.40
  6. Step 6: Final answer
    x = 311,734.55

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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.