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Finding the Fourth Proportional to 279,892.80, 419,848.92 and 90,352.80

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Solution

The fourth proportional to 279,892.80, 419,848.92 and 90,352.80 is: 135,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,892.80 : 419,848.92 = 90,352.80 : x
  2. Step 2: Convert to fraction form
    279,892.80/419,848.92 = 90,352.80/x
  3. Step 3: Cross multiply
    279,892.80x = 419,848.92 × 90,352.80
  4. Step 4: Simplify right side
    279,892.80x = 37,934,525,498.98
  5. Step 5: Solve for x
    x = 37,934,525,498.98/279,892.80
  6. Step 6: Final answer
    x = 135,532.34

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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.