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Finding the Fourth Proportional to 311,769.68, 430,018.90 and 202,670.51

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Solution

The fourth proportional to 311,769.68, 430,018.90 and 202,670.51 is: 279,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,769.68 : 430,018.90 = 202,670.51 : x
  2. Step 2: Convert to fraction form
    311,769.68/430,018.90 = 202,670.51/x
  3. Step 3: Cross multiply
    311,769.68x = 430,018.90 × 202,670.51
  4. Step 4: Simplify right side
    311,769.68x = 87,152,147,115.87
  5. Step 5: Solve for x
    x = 87,152,147,115.87/311,769.68
  6. Step 6: Final answer
    x = 279,540.17

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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.