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Finding the Fourth Proportional to 519,077, 716,327.22 and 280,613

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Solution

The fourth proportional to 519,077, 716,327.22 and 280,613 is: 387,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,077 : 716,327.22 = 280,613 : x
  2. Step 2: Convert to fraction form
    519,077/716,327.22 = 280,613/x
  3. Step 3: Cross multiply
    519,077x = 716,327.22 × 280,613
  4. Step 4: Simplify right side
    519,077x = 201,010,730,185.86
  5. Step 5: Solve for x
    x = 201,010,730,185.86/519,077
  6. Step 6: Final answer
    x = 387,246.46

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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.