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Finding the Fourth Proportional to 634,493.43, 951,805.77 and 213,802.11

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Solution

The fourth proportional to 634,493.43, 951,805.77 and 213,802.11 is: 320,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,493.43 : 951,805.77 = 213,802.11 : x
  2. Step 2: Convert to fraction form
    634,493.43/951,805.77 = 213,802.11/x
  3. Step 3: Cross multiply
    634,493.43x = 951,805.77 × 213,802.11
  4. Step 4: Simplify right side
    634,493.43x = 203,498,081,936.18
  5. Step 5: Solve for x
    x = 203,498,081,936.18/634,493.43
  6. Step 6: Final answer
    x = 320,725.28

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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.