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Finding the Fourth Proportional to 512,692.70, 769,126.52 and 157,698.86

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Solution

The fourth proportional to 512,692.70, 769,126.52 and 157,698.86 is: 236,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,692.70 : 769,126.52 = 157,698.86 : x
  2. Step 2: Convert to fraction form
    512,692.70/769,126.52 = 157,698.86/x
  3. Step 3: Cross multiply
    512,692.70x = 769,126.52 × 157,698.86
  4. Step 4: Simplify right side
    512,692.70x = 121,290,375,399.77
  5. Step 5: Solve for x
    x = 121,290,375,399.77/512,692.70
  6. Step 6: Final answer
    x = 236,575.19

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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.