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Finding the Fourth Proportional to 427,424.32, 641,194.80 and 178,048

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Solution

The fourth proportional to 427,424.32, 641,194.80 and 178,048 is: 267,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,424.32 : 641,194.80 = 178,048 : x
  2. Step 2: Convert to fraction form
    427,424.32/641,194.80 = 178,048/x
  3. Step 3: Cross multiply
    427,424.32x = 641,194.80 × 178,048
  4. Step 4: Simplify right side
    427,424.32x = 114,163,451,750.40
  5. Step 5: Solve for x
    x = 114,163,451,750.40/427,424.32
  6. Step 6: Final answer
    x = 267,096.29

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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.