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Finding the Fourth Proportional to 308,762, 426,091.56 and 167,450

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Solution

The fourth proportional to 308,762, 426,091.56 and 167,450 is: 231,081

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,762 : 426,091.56 = 167,450 : x
  2. Step 2: Convert to fraction form
    308,762/426,091.56 = 167,450/x
  3. Step 3: Cross multiply
    308,762x = 426,091.56 × 167,450
  4. Step 4: Simplify right side
    308,762x = 71,349,031,722
  5. Step 5: Solve for x
    x = 71,349,031,722/308,762
  6. Step 6: Final answer
    x = 231,081

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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.