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Finding the Fourth Proportional to 280,597.78, 420,958.86 and 80,902.58

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Solution

The fourth proportional to 280,597.78, 420,958.86 and 80,902.58 is: 121,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,597.78 : 420,958.86 = 80,902.58 : x
  2. Step 2: Convert to fraction form
    280,597.78/420,958.86 = 80,902.58/x
  3. Step 3: Cross multiply
    280,597.78x = 420,958.86 × 80,902.58
  4. Step 4: Simplify right side
    280,597.78x = 34,056,657,807.57
  5. Step 5: Solve for x
    x = 34,056,657,807.57/280,597.78
  6. Step 6: Final answer
    x = 121,371.80

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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.