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Finding the Fourth Proportional to 407,171.38, 561,897.93 and 225,886.90

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Solution

The fourth proportional to 407,171.38, 561,897.93 and 225,886.90 is: 311,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,171.38 : 561,897.93 = 225,886.90 : x
  2. Step 2: Convert to fraction form
    407,171.38/561,897.93 = 225,886.90/x
  3. Step 3: Cross multiply
    407,171.38x = 561,897.93 × 225,886.90
  4. Step 4: Simplify right side
    407,171.38x = 126,925,381,524.12
  5. Step 5: Solve for x
    x = 126,925,381,524.12/407,171.38
  6. Step 6: Final answer
    x = 311,724.71

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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.