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Finding the Fourth Proportional to 278,040.80, 417,061.20 and 165,847.70

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Solution

The fourth proportional to 278,040.80, 417,061.20 and 165,847.70 is: 248,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,040.80 : 417,061.20 = 165,847.70 : x
  2. Step 2: Convert to fraction form
    278,040.80/417,061.20 = 165,847.70/x
  3. Step 3: Cross multiply
    278,040.80x = 417,061.20 × 165,847.70
  4. Step 4: Simplify right side
    278,040.80x = 69,168,640,779.24
  5. Step 5: Solve for x
    x = 69,168,640,779.24/278,040.80
  6. Step 6: Final answer
    x = 248,771.55

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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.