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Finding the Fourth Proportional to 279,614.14, 385,917.55 and 164,885.83

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Solution

The fourth proportional to 279,614.14, 385,917.55 and 164,885.83 is: 227,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,614.14 : 385,917.55 = 164,885.83 : x
  2. Step 2: Convert to fraction form
    279,614.14/385,917.55 = 164,885.83/x
  3. Step 3: Cross multiply
    279,614.14x = 385,917.55 × 164,885.83
  4. Step 4: Simplify right side
    279,614.14x = 63,632,334,166.31
  5. Step 5: Solve for x
    x = 63,632,334,166.31/279,614.14
  6. Step 6: Final answer
    x = 227,571.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.