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Finding the Fourth Proportional to 427,598.72, 641,294.40 and 178,144.64

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Solution

The fourth proportional to 427,598.72, 641,294.40 and 178,144.64 is: 267,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,598.72 : 641,294.40 = 178,144.64 : x
  2. Step 2: Convert to fraction form
    427,598.72/641,294.40 = 178,144.64/x
  3. Step 3: Cross multiply
    427,598.72x = 641,294.40 × 178,144.64
  4. Step 4: Simplify right side
    427,598.72x = 114,243,160,022.02
  5. Step 5: Solve for x
    x = 114,243,160,022.02/427,598.72
  6. Step 6: Final answer
    x = 267,173.77

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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.