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Finding the Fourth Proportional to 279,763.49, 419,710.80 and 111,293.41

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Solution

The fourth proportional to 279,763.49, 419,710.80 and 111,293.41 is: 166,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,763.49 : 419,710.80 = 111,293.41 : x
  2. Step 2: Convert to fraction form
    279,763.49/419,710.80 = 111,293.41/x
  3. Step 3: Cross multiply
    279,763.49x = 419,710.80 × 111,293.41
  4. Step 4: Simplify right side
    279,763.49x = 46,711,046,145.83
  5. Step 5: Solve for x
    x = 46,711,046,145.83/279,763.49
  6. Step 6: Final answer
    x = 166,966.20

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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.