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Finding the Fourth Proportional to 512,855.30, 769,052.55 and 197,207.30

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Solution

The fourth proportional to 512,855.30, 769,052.55 and 197,207.30 is: 295,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,855.30 : 769,052.55 = 197,207.30 : x
  2. Step 2: Convert to fraction form
    512,855.30/769,052.55 = 197,207.30/x
  3. Step 3: Cross multiply
    512,855.30x = 769,052.55 × 197,207.30
  4. Step 4: Simplify right side
    512,855.30x = 151,662,776,943.62
  5. Step 5: Solve for x
    x = 151,662,776,943.62/512,855.30
  6. Step 6: Final answer
    x = 295,722.35

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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.