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Finding the Fourth Proportional to 279,871.96, 419,731.18 and 167,463.72

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Solution

The fourth proportional to 279,871.96, 419,731.18 and 167,463.72 is: 251,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,871.96 : 419,731.18 = 167,463.72 : x
  2. Step 2: Convert to fraction form
    279,871.96/419,731.18 = 167,463.72/x
  3. Step 3: Cross multiply
    279,871.96x = 419,731.18 × 167,463.72
  4. Step 4: Simplify right side
    279,871.96x = 70,289,744,802.79
  5. Step 5: Solve for x
    x = 70,289,744,802.79/279,871.96
  6. Step 6: Final answer
    x = 251,149.65

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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.