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Finding the Fourth Proportional to 392,721.96, 589,222.14 and 167,987.88

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Solution

The fourth proportional to 392,721.96, 589,222.14 and 167,987.88 is: 252,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,721.96 : 589,222.14 = 167,987.88 : x
  2. Step 2: Convert to fraction form
    392,721.96/589,222.14 = 167,987.88/x
  3. Step 3: Cross multiply
    392,721.96x = 589,222.14 × 167,987.88
  4. Step 4: Simplify right side
    392,721.96x = 98,982,178,147.66
  5. Step 5: Solve for x
    x = 98,982,178,147.66/392,721.96
  6. Step 6: Final answer
    x = 252,041.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.