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Finding the Fourth Proportional to 407,164.93, 561,861.16 and 225,876.40

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Solution

The fourth proportional to 407,164.93, 561,861.16 and 225,876.40 is: 311,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,164.93 : 561,861.16 = 225,876.40 : x
  2. Step 2: Convert to fraction form
    407,164.93/561,861.16 = 225,876.40/x
  3. Step 3: Cross multiply
    407,164.93x = 561,861.16 × 225,876.40
  4. Step 4: Simplify right side
    407,164.93x = 126,911,174,151.28
  5. Step 5: Solve for x
    x = 126,911,174,151.28/407,164.93
  6. Step 6: Final answer
    x = 311,694.76

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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.