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Finding the Fourth Proportional to 512,992.71, 769,587.89 and 213,312.15

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Solution

The fourth proportional to 512,992.71, 769,587.89 and 213,312.15 is: 320,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,992.71 : 769,587.89 = 213,312.15 : x
  2. Step 2: Convert to fraction form
    512,992.71/769,587.89 = 213,312.15/x
  3. Step 3: Cross multiply
    512,992.71x = 769,587.89 × 213,312.15
  4. Step 4: Simplify right side
    512,992.71x = 164,162,446,363.30
  5. Step 5: Solve for x
    x = 164,162,446,363.30/512,992.71
  6. Step 6: Final answer
    x = 320,009.32

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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.