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Finding the Fourth Proportional to 311,838.38, 430,050.03 and 204,369.38

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Solution

The fourth proportional to 311,838.38, 430,050.03 and 204,369.38 is: 281,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838.38 : 430,050.03 = 204,369.38 : x
  2. Step 2: Convert to fraction form
    311,838.38/430,050.03 = 204,369.38/x
  3. Step 3: Cross multiply
    311,838.38x = 430,050.03 × 204,369.38
  4. Step 4: Simplify right side
    311,838.38x = 87,889,058,000.08
  5. Step 5: Solve for x
    x = 87,889,058,000.08/311,838.38
  6. Step 6: Final answer
    x = 281,841.70

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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.