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Finding the Fourth Proportional to 427,421.82, 641,191.05 and 178,045.50

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Solution

The fourth proportional to 427,421.82, 641,191.05 and 178,045.50 is: 267,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,421.82 : 641,191.05 = 178,045.50 : x
  2. Step 2: Convert to fraction form
    427,421.82/641,191.05 = 178,045.50/x
  3. Step 3: Cross multiply
    427,421.82x = 641,191.05 × 178,045.50
  4. Step 4: Simplify right side
    427,421.82x = 114,161,181,092.78
  5. Step 5: Solve for x
    x = 114,161,181,092.78/427,421.82
  6. Step 6: Final answer
    x = 267,092.54

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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.