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Finding the Fourth Proportional to 279,864.80, 419,897.44 and 119,873.60

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Solution

The fourth proportional to 279,864.80, 419,897.44 and 119,873.60 is: 179,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,864.80 : 419,897.44 = 119,873.60 : x
  2. Step 2: Convert to fraction form
    279,864.80/419,897.44 = 119,873.60/x
  3. Step 3: Cross multiply
    279,864.80x = 419,897.44 × 119,873.60
  4. Step 4: Simplify right side
    279,864.80x = 50,334,617,763.58
  5. Step 5: Solve for x
    x = 50,334,617,763.58/279,864.80
  6. Step 6: Final answer
    x = 179,853.34

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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.