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Finding the Fourth Proportional to 807,284, 1,114,086.48 and 449,588

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Solution

The fourth proportional to 807,284, 1,114,086.48 and 449,588 is: 620,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,284 : 1,114,086.48 = 449,588 : x
  2. Step 2: Convert to fraction form
    807,284/1,114,086.48 = 449,588/x
  3. Step 3: Cross multiply
    807,284x = 1,114,086.48 × 449,588
  4. Step 4: Simplify right side
    807,284x = 500,879,912,370.24
  5. Step 5: Solve for x
    x = 500,879,912,370.24/807,284
  6. Step 6: Final answer
    x = 620,450.69

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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.