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Finding the Fourth Proportional to 279,783.84, 419,347.20 and 129,708.24

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Solution

The fourth proportional to 279,783.84, 419,347.20 and 129,708.24 is: 194,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,783.84 : 419,347.20 = 129,708.24 : x
  2. Step 2: Convert to fraction form
    279,783.84/419,347.20 = 129,708.24/x
  3. Step 3: Cross multiply
    279,783.84x = 419,347.20 × 129,708.24
  4. Step 4: Simplify right side
    279,783.84x = 54,392,787,260.93
  5. Step 5: Solve for x
    x = 54,392,787,260.93/279,783.84
  6. Step 6: Final answer
    x = 194,410.04

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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.