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Finding the Fourth Proportional to 512,811.72, 769,290.48 and 157,855.32

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Solution

The fourth proportional to 512,811.72, 769,290.48 and 157,855.32 is: 236,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,811.72 : 769,290.48 = 157,855.32 : x
  2. Step 2: Convert to fraction form
    512,811.72/769,290.48 = 157,855.32/x
  3. Step 3: Cross multiply
    512,811.72x = 769,290.48 × 157,855.32
  4. Step 4: Simplify right side
    512,811.72x = 121,436,594,893.35
  5. Step 5: Solve for x
    x = 121,436,594,893.35/512,811.72
  6. Step 6: Final answer
    x = 236,805.42

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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.