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Finding the Fourth Proportional to 279,762.49, 419,709.30 and 111,292.41

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Solution

The fourth proportional to 279,762.49, 419,709.30 and 111,292.41 is: 166,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,762.49 : 419,709.30 = 111,292.41 : x
  2. Step 2: Convert to fraction form
    279,762.49/419,709.30 = 111,292.41/x
  3. Step 3: Cross multiply
    279,762.49x = 419,709.30 × 111,292.41
  4. Step 4: Simplify right side
    279,762.49x = 46,710,460,652.98
  5. Step 5: Solve for x
    x = 46,710,460,652.98/279,762.49
  6. Step 6: Final answer
    x = 166,964.70

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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.