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Finding the Fourth Proportional to 315,871.48, 435,903.42 and 172,633.24

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Solution

The fourth proportional to 315,871.48, 435,903.42 and 172,633.24 is: 238,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,871.48 : 435,903.42 = 172,633.24 : x
  2. Step 2: Convert to fraction form
    315,871.48/435,903.42 = 172,633.24/x
  3. Step 3: Cross multiply
    315,871.48x = 435,903.42 × 172,633.24
  4. Step 4: Simplify right side
    315,871.48x = 75,251,419,721.68
  5. Step 5: Solve for x
    x = 75,251,419,721.68/315,871.48
  6. Step 6: Final answer
    x = 238,234.30

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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.