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Finding the Fourth Proportional to 512,548.32, 768,883.98 and 213,231.39

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Solution

The fourth proportional to 512,548.32, 768,883.98 and 213,231.39 is: 319,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,548.32 : 768,883.98 = 213,231.39 : x
  2. Step 2: Convert to fraction form
    512,548.32/768,883.98 = 213,231.39/x
  3. Step 3: Cross multiply
    512,548.32x = 768,883.98 × 213,231.39
  4. Step 4: Simplify right side
    512,548.32x = 163,950,199,804.13
  5. Step 5: Solve for x
    x = 163,950,199,804.13/512,548.32
  6. Step 6: Final answer
    x = 319,872.67

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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.