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Finding the Fourth Proportional to 279,914.48, 419,995.68 and 146,762.96

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Solution

The fourth proportional to 279,914.48, 419,995.68 and 146,762.96 is: 220,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,914.48 : 419,995.68 = 146,762.96 : x
  2. Step 2: Convert to fraction form
    279,914.48/419,995.68 = 146,762.96/x
  3. Step 3: Cross multiply
    279,914.48x = 419,995.68 × 146,762.96
  4. Step 4: Simplify right side
    279,914.48x = 61,639,809,184.01
  5. Step 5: Solve for x
    x = 61,639,809,184.01/279,914.48
  6. Step 6: Final answer
    x = 220,209.43

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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.