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Finding the Fourth Proportional to 512,549.32, 768,885.48 and 213,232.39

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Solution

The fourth proportional to 512,549.32, 768,885.48 and 213,232.39 is: 319,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,549.32 : 768,885.48 = 213,232.39 : x
  2. Step 2: Convert to fraction form
    512,549.32/768,885.48 = 213,232.39/x
  3. Step 3: Cross multiply
    512,549.32x = 768,885.48 × 213,232.39
  4. Step 4: Simplify right side
    512,549.32x = 163,951,288,536.70
  5. Step 5: Solve for x
    x = 163,951,288,536.70/512,549.32
  6. Step 6: Final answer
    x = 319,874.17

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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.