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Finding the Fourth Proportional to 819,746, 1,131,249.48 and 462,050

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Solution

The fourth proportional to 819,746, 1,131,249.48 and 462,050 is: 637,629

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,746 : 1,131,249.48 = 462,050 : x
  2. Step 2: Convert to fraction form
    819,746/1,131,249.48 = 462,050/x
  3. Step 3: Cross multiply
    819,746x = 1,131,249.48 × 462,050
  4. Step 4: Simplify right side
    819,746x = 522,693,822,234
  5. Step 5: Solve for x
    x = 522,693,822,234/819,746
  6. Step 6: Final answer
    x = 637,629

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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.