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Finding the Fourth Proportional to 512,588.72, 768,595.08 and 212,867.66

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Solution

The fourth proportional to 512,588.72, 768,595.08 and 212,867.66 is: 319,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,588.72 : 768,595.08 = 212,867.66 : x
  2. Step 2: Convert to fraction form
    512,588.72/768,595.08 = 212,867.66/x
  3. Step 3: Cross multiply
    512,588.72x = 768,595.08 × 212,867.66
  4. Step 4: Simplify right side
    512,588.72x = 163,609,036,167.11
  5. Step 5: Solve for x
    x = 163,609,036,167.11/512,588.72
  6. Step 6: Final answer
    x = 319,181.89

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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.