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Finding the Fourth Proportional to 311,197.50, 429,426.99 and 175,188

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Solution

The fourth proportional to 311,197.50, 429,426.99 and 175,188 is: 241,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,197.50 : 429,426.99 = 175,188 : x
  2. Step 2: Convert to fraction form
    311,197.50/429,426.99 = 175,188/x
  3. Step 3: Cross multiply
    311,197.50x = 429,426.99 × 175,188
  4. Step 4: Simplify right side
    311,197.50x = 75,230,455,524.12
  5. Step 5: Solve for x
    x = 75,230,455,524.12/311,197.50
  6. Step 6: Final answer
    x = 241,745.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.