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Finding the Fourth Proportional to 279,890.54, 419,901.72 and 111,420.46

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Solution

The fourth proportional to 279,890.54, 419,901.72 and 111,420.46 is: 167,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,890.54 : 419,901.72 = 111,420.46 : x
  2. Step 2: Convert to fraction form
    279,890.54/419,901.72 = 111,420.46/x
  3. Step 3: Cross multiply
    279,890.54x = 419,901.72 × 111,420.46
  4. Step 4: Simplify right side
    279,890.54x = 46,785,640,140.58
  5. Step 5: Solve for x
    x = 46,785,640,140.58/279,890.54
  6. Step 6: Final answer
    x = 167,156.92

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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.