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Finding the Fourth Proportional to 312,286.86, 430,849.26 and 203,341.32

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Solution

The fourth proportional to 312,286.86, 430,849.26 and 203,341.32 is: 280,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,286.86 : 430,849.26 = 203,341.32 : x
  2. Step 2: Convert to fraction form
    312,286.86/430,849.26 = 203,341.32/x
  3. Step 3: Cross multiply
    312,286.86x = 430,849.26 × 203,341.32
  4. Step 4: Simplify right side
    312,286.86x = 87,609,457,249.42
  5. Step 5: Solve for x
    x = 87,609,457,249.42/312,286.86
  6. Step 6: Final answer
    x = 280,541.61

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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.