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Finding the Fourth Proportional to 315,103.41, 434,842.44 and 171,863.01

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Solution

The fourth proportional to 315,103.41, 434,842.44 and 171,863.01 is: 237,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,103.41 : 434,842.44 = 171,863.01 : x
  2. Step 2: Convert to fraction form
    315,103.41/434,842.44 = 171,863.01/x
  3. Step 3: Cross multiply
    315,103.41x = 434,842.44 × 171,863.01
  4. Step 4: Simplify right side
    315,103.41x = 74,733,330,614.14
  5. Step 5: Solve for x
    x = 74,733,330,614.14/315,103.41
  6. Step 6: Final answer
    x = 237,170.81

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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.