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Finding the Fourth Proportional to 289,745.80, 434,472.90 and 171,453.40

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Solution

The fourth proportional to 289,745.80, 434,472.90 and 171,453.40 is: 257,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,745.80 : 434,472.90 = 171,453.40 : x
  2. Step 2: Convert to fraction form
    289,745.80/434,472.90 = 171,453.40/x
  3. Step 3: Cross multiply
    289,745.80x = 434,472.90 × 171,453.40
  4. Step 4: Simplify right side
    289,745.80x = 74,491,855,912.86
  5. Step 5: Solve for x
    x = 74,491,855,912.86/289,745.80
  6. Step 6: Final answer
    x = 257,093.82

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1.5x scale

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.