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Finding the Fourth Proportional to 407,091.63, 561,853.71 and 225,861.87

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Solution

The fourth proportional to 407,091.63, 561,853.71 and 225,861.87 is: 311,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,091.63 : 561,853.71 = 225,861.87 : x
  2. Step 2: Convert to fraction form
    407,091.63/561,853.71 = 225,861.87/x
  3. Step 3: Cross multiply
    407,091.63x = 561,853.71 × 225,861.87
  4. Step 4: Simplify right side
    407,091.63x = 126,901,329,607.04
  5. Step 5: Solve for x
    x = 126,901,329,607.04/407,091.63
  6. Step 6: Final answer
    x = 311,726.70

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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.