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Finding the Fourth Proportional to 279,737.91, 419,972.67 and 166,093.16

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Solution

The fourth proportional to 279,737.91, 419,972.67 and 166,093.16 is: 249,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,737.91 : 419,972.67 = 166,093.16 : x
  2. Step 2: Convert to fraction form
    279,737.91/419,972.67 = 166,093.16/x
  3. Step 3: Cross multiply
    279,737.91x = 419,972.67 × 166,093.16
  4. Step 4: Simplify right side
    279,737.91x = 69,754,585,774.07
  5. Step 5: Solve for x
    x = 69,754,585,774.07/279,737.91
  6. Step 6: Final answer
    x = 249,356.93

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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.