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Finding the Fourth Proportional to 315,871.26, 435,901.32 and 172,631.27

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Solution

The fourth proportional to 315,871.26, 435,901.32 and 172,631.27 is: 238,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,871.26 : 435,901.32 = 172,631.27 : x
  2. Step 2: Convert to fraction form
    315,871.26/435,901.32 = 172,631.27/x
  3. Step 3: Cross multiply
    315,871.26x = 435,901.32 × 172,631.27
  4. Step 4: Simplify right side
    315,871.26x = 75,250,196,286.77
  5. Step 5: Solve for x
    x = 75,250,196,286.77/315,871.26
  6. Step 6: Final answer
    x = 238,230.59

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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.