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Finding the Fourth Proportional to 427,375.42, 641,064.20 and 174,655.87

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Solution

The fourth proportional to 427,375.42, 641,064.20 and 174,655.87 is: 261,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,375.42 : 641,064.20 = 174,655.87 : x
  2. Step 2: Convert to fraction form
    427,375.42/641,064.20 = 174,655.87/x
  3. Step 3: Cross multiply
    427,375.42x = 641,064.20 × 174,655.87
  4. Step 4: Simplify right side
    427,375.42x = 111,965,626,500.37
  5. Step 5: Solve for x
    x = 111,965,626,500.37/427,375.42
  6. Step 6: Final answer
    x = 261,984.24

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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.