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Finding the Fourth Proportional to 512,221.51, 768,446.48 and 157,271.41

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Solution

The fourth proportional to 512,221.51, 768,446.48 and 157,271.41 is: 235,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,221.51 : 768,446.48 = 157,271.41 : x
  2. Step 2: Convert to fraction form
    512,221.51/768,446.48 = 157,271.41/x
  3. Step 3: Cross multiply
    512,221.51x = 768,446.48 × 157,271.41
  4. Step 4: Simplify right side
    512,221.51x = 120,854,661,419.14
  5. Step 5: Solve for x
    x = 120,854,661,419.14/512,221.51
  6. Step 6: Final answer
    x = 235,942.18

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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.