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Finding the Fourth Proportional to 682,584, 1,023,078.75 and 513,561.30

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Solution

The fourth proportional to 682,584, 1,023,078.75 and 513,561.30 is: 769,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,584 : 1,023,078.75 = 513,561.30 : x
  2. Step 2: Convert to fraction form
    682,584/1,023,078.75 = 513,561.30/x
  3. Step 3: Cross multiply
    682,584x = 1,023,078.75 × 513,561.30
  4. Step 4: Simplify right side
    682,584x = 525,413,652,852.38
  5. Step 5: Solve for x
    x = 525,413,652,852.38/682,584
  6. Step 6: Final answer
    x = 769,742.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.