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Finding the Fourth Proportional to 819,842, 1,131,381.96 and 462,146

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Solution

The fourth proportional to 819,842, 1,131,381.96 and 462,146 is: 637,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,842 : 1,131,381.96 = 462,146 : x
  2. Step 2: Convert to fraction form
    819,842/1,131,381.96 = 462,146/x
  3. Step 3: Cross multiply
    819,842x = 1,131,381.96 × 462,146
  4. Step 4: Simplify right side
    819,842x = 522,863,647,286.16
  5. Step 5: Solve for x
    x = 522,863,647,286.16/819,842
  6. Step 6: Final answer
    x = 637,761.48

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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.