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Finding the Fourth Proportional to 279,908.84, 419,929.42 and 111,438.84

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Solution

The fourth proportional to 279,908.84, 419,929.42 and 111,438.84 is: 167,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,908.84 : 419,929.42 = 111,438.84 : x
  2. Step 2: Convert to fraction form
    279,908.84/419,929.42 = 111,438.84/x
  3. Step 3: Cross multiply
    279,908.84x = 419,929.42 × 111,438.84
  4. Step 4: Simplify right side
    279,908.84x = 46,796,447,446.67
  5. Step 5: Solve for x
    x = 46,796,447,446.67/279,908.84
  6. Step 6: Final answer
    x = 167,184.60

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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.