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Finding the Fourth Proportional to 407,113.66, 561,884.10 and 225,883.90

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Solution

The fourth proportional to 407,113.66, 561,884.10 and 225,883.90 is: 311,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,113.66 : 561,884.10 = 225,883.90 : x
  2. Step 2: Convert to fraction form
    407,113.66/561,884.10 = 225,883.90/x
  3. Step 3: Cross multiply
    407,113.66x = 561,884.10 × 225,883.90
  4. Step 4: Simplify right side
    407,113.66x = 126,920,571,855.99
  5. Step 5: Solve for x
    x = 126,920,571,855.99/407,113.66
  6. Step 6: Final answer
    x = 311,757.09

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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.