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Finding the Fourth Proportional to 512,066.56, 767,770.98 and 212,753.92

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Solution

The fourth proportional to 512,066.56, 767,770.98 and 212,753.92 is: 318,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,066.56 : 767,770.98 = 212,753.92 : x
  2. Step 2: Convert to fraction form
    512,066.56/767,770.98 = 212,753.92/x
  3. Step 3: Cross multiply
    512,066.56x = 767,770.98 × 212,753.92
  4. Step 4: Simplify right side
    512,066.56x = 163,346,285,657.24
  5. Step 5: Solve for x
    x = 163,346,285,657.24/512,066.56
  6. Step 6: Final answer
    x = 318,994.24

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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.