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Finding the Fourth Proportional to 684,751.89, 1,027,486.01 and 280,244.37

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Solution

The fourth proportional to 684,751.89, 1,027,486.01 and 280,244.37 is: 420,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,751.89 : 1,027,486.01 = 280,244.37 : x
  2. Step 2: Convert to fraction form
    684,751.89/1,027,486.01 = 280,244.37/x
  3. Step 3: Cross multiply
    684,751.89x = 1,027,486.01 × 280,244.37
  4. Step 4: Simplify right side
    684,751.89x = 287,947,169,556.26
  5. Step 5: Solve for x
    x = 287,947,169,556.26/684,751.89
  6. Step 6: Final answer
    x = 420,513.14

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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.