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Finding the Fourth Proportional to 313,871.59, 432,736.23 and 203,293.49

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Solution

The fourth proportional to 313,871.59, 432,736.23 and 203,293.49 is: 280,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,871.59 : 432,736.23 = 203,293.49 : x
  2. Step 2: Convert to fraction form
    313,871.59/432,736.23 = 203,293.49/x
  3. Step 3: Cross multiply
    313,871.59x = 432,736.23 × 203,293.49
  4. Step 4: Simplify right side
    313,871.59x = 87,972,458,446.14
  5. Step 5: Solve for x
    x = 87,972,458,446.14/313,871.59
  6. Step 6: Final answer
    x = 280,281.69

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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.