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Finding the Fourth Proportional to 857,992, 1,287,344.94 and 377,974.12

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Solution

The fourth proportional to 857,992, 1,287,344.94 and 377,974.12 is: 567,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,992 : 1,287,344.94 = 377,974.12 : x
  2. Step 2: Convert to fraction form
    857,992/1,287,344.94 = 377,974.12/x
  3. Step 3: Cross multiply
    857,992x = 1,287,344.94 × 377,974.12
  4. Step 4: Simplify right side
    857,992x = 486,583,070,832.95
  5. Step 5: Solve for x
    x = 486,583,070,832.95/857,992
  6. Step 6: Final answer
    x = 567,118.42

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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.