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Finding the Fourth Proportional to 303,838.07, 419,294.07 and 167,871.58

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Solution

The fourth proportional to 303,838.07, 419,294.07 and 167,871.58 is: 231,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,838.07 : 419,294.07 = 167,871.58 : x
  2. Step 2: Convert to fraction form
    303,838.07/419,294.07 = 167,871.58/x
  3. Step 3: Cross multiply
    303,838.07x = 419,294.07 × 167,871.58
  4. Step 4: Simplify right side
    303,838.07x = 70,387,556,967.30
  5. Step 5: Solve for x
    x = 70,387,556,967.30/303,838.07
  6. Step 6: Final answer
    x = 231,661.42

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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.