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Finding the Fourth Proportional to 203,379.76, 280,352.96 and 142,780.40

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Solution

The fourth proportional to 203,379.76, 280,352.96 and 142,780.40 is: 196,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,379.76 : 280,352.96 = 142,780.40 : x
  2. Step 2: Convert to fraction form
    203,379.76/280,352.96 = 142,780.40/x
  3. Step 3: Cross multiply
    203,379.76x = 280,352.96 × 142,780.40
  4. Step 4: Simplify right side
    203,379.76x = 40,028,907,769.98
  5. Step 5: Solve for x
    x = 40,028,907,769.98/203,379.76
  6. Step 6: Final answer
    x = 196,818.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.