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Finding the Fourth Proportional to 279,795.40, 419,721.45 and 90,206.80

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Solution

The fourth proportional to 279,795.40, 419,721.45 and 90,206.80 is: 135,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,795.40 : 419,721.45 = 90,206.80 : x
  2. Step 2: Convert to fraction form
    279,795.40/419,721.45 = 90,206.80/x
  3. Step 3: Cross multiply
    279,795.40x = 419,721.45 × 90,206.80
  4. Step 4: Simplify right side
    279,795.40x = 37,861,728,895.86
  5. Step 5: Solve for x
    x = 37,861,728,895.86/279,795.40
  6. Step 6: Final answer
    x = 135,319.34

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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.