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Finding the Fourth Proportional to 279,734.72, 419,967.94 and 166,089.99

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Solution

The fourth proportional to 279,734.72, 419,967.94 and 166,089.99 is: 249,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,734.72 : 419,967.94 = 166,089.99 : x
  2. Step 2: Convert to fraction form
    279,734.72/419,967.94 = 166,089.99/x
  3. Step 3: Cross multiply
    279,734.72x = 419,967.94 × 166,089.99
  4. Step 4: Simplify right side
    279,734.72x = 69,752,470,954.92
  5. Step 5: Solve for x
    x = 69,752,470,954.92/279,734.72
  6. Step 6: Final answer
    x = 249,352.21

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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.