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Finding the Fourth Proportional to 208,452.72, 311,931.64 and 180,469.02

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Solution

The fourth proportional to 208,452.72, 311,931.64 and 180,469.02 is: 270,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,452.72 : 311,931.64 = 180,469.02 : x
  2. Step 2: Convert to fraction form
    208,452.72/311,931.64 = 180,469.02/x
  3. Step 3: Cross multiply
    208,452.72x = 311,931.64 × 180,469.02
  4. Step 4: Simplify right side
    208,452.72x = 56,293,997,377.79
  5. Step 5: Solve for x
    x = 56,293,997,377.79/208,452.72
  6. Step 6: Final answer
    x = 270,056.43

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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.