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Finding the Fourth Proportional to 512,065.56, 767,769.48 and 212,752.92

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Solution

The fourth proportional to 512,065.56, 767,769.48 and 212,752.92 is: 318,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,065.56 : 767,769.48 = 212,752.92 : x
  2. Step 2: Convert to fraction form
    512,065.56/767,769.48 = 212,752.92/x
  3. Step 3: Cross multiply
    512,065.56x = 767,769.48 × 212,752.92
  4. Step 4: Simplify right side
    512,065.56x = 163,345,198,756.88
  5. Step 5: Solve for x
    x = 163,345,198,756.88/512,065.56
  6. Step 6: Final answer
    x = 318,992.75

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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.