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Finding the Fourth Proportional to 819,843, 1,131,383.34 and 462,147

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Solution

The fourth proportional to 819,843, 1,131,383.34 and 462,147 is: 637,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,843 : 1,131,383.34 = 462,147 : x
  2. Step 2: Convert to fraction form
    819,843/1,131,383.34 = 462,147/x
  3. Step 3: Cross multiply
    819,843x = 1,131,383.34 × 462,147
  4. Step 4: Simplify right side
    819,843x = 522,865,416,430.98
  5. Step 5: Solve for x
    x = 522,865,416,430.98/819,843
  6. Step 6: Final answer
    x = 637,762.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.