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Finding the Fourth Proportional to 407,033.10, 561,740.19 and 225,803.43

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Solution

The fourth proportional to 407,033.10, 561,740.19 and 225,803.43 is: 311,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,033.10 : 561,740.19 = 225,803.43 : x
  2. Step 2: Convert to fraction form
    407,033.10/561,740.19 = 225,803.43/x
  3. Step 3: Cross multiply
    407,033.10x = 561,740.19 × 225,803.43
  4. Step 4: Simplify right side
    407,033.10x = 126,842,861,670.85
  5. Step 5: Solve for x
    x = 126,842,861,670.85/407,033.10
  6. Step 6: Final answer
    x = 311,627.88

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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.