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Finding the Fourth Proportional to 519,309, 716,648.58 and 280,845

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Solution

The fourth proportional to 519,309, 716,648.58 and 280,845 is: 387,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,309 : 716,648.58 = 280,845 : x
  2. Step 2: Convert to fraction form
    519,309/716,648.58 = 280,845/x
  3. Step 3: Cross multiply
    519,309x = 716,648.58 × 280,845
  4. Step 4: Simplify right side
    519,309x = 201,267,170,450.10
  5. Step 5: Solve for x
    x = 201,267,170,450.10/519,309
  6. Step 6: Final answer
    x = 387,567.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.