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Finding the Fourth Proportional to 644,581,638.60, 966,769,814.70 and 213,760,134.60

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Solution

The fourth proportional to 644,581,638.60, 966,769,814.70 and 213,760,134.60 is: 320,606,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,581,638.60 : 966,769,814.70 = 213,760,134.60 : x
  2. Step 2: Convert to fraction form
    644,581,638.60/966,769,814.70 = 213,760,134.60/x
  3. Step 3: Cross multiply
    644,581,638.60x = 966,769,814.70 × 213,760,134.60
  4. Step 4: Simplify right side
    644,581,638.60x = 206,656,845,717,489,056
  5. Step 5: Solve for x
    x = 206,656,845,717,489,056/644,581,638.60
  6. Step 6: Final answer
    x = 320,606,162.73

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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.