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Finding the Fourth Proportional to 427,601.72, 641,298.90 and 178,147.64

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Solution

The fourth proportional to 427,601.72, 641,298.90 and 178,147.64 is: 267,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,601.72 : 641,298.90 = 178,147.64 : x
  2. Step 2: Convert to fraction form
    427,601.72/641,298.90 = 178,147.64/x
  3. Step 3: Cross multiply
    427,601.72x = 641,298.90 × 178,147.64
  4. Step 4: Simplify right side
    427,601.72x = 114,245,885,569.60
  5. Step 5: Solve for x
    x = 114,245,885,569.60/427,601.72
  6. Step 6: Final answer
    x = 267,178.26

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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.