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Finding the Fourth Proportional to 519,142, 716,415.96 and 280,678

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Solution

The fourth proportional to 519,142, 716,415.96 and 280,678 is: 387,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,142 : 716,415.96 = 280,678 : x
  2. Step 2: Convert to fraction form
    519,142/716,415.96 = 280,678/x
  3. Step 3: Cross multiply
    519,142x = 716,415.96 × 280,678
  4. Step 4: Simplify right side
    519,142x = 201,082,198,820.88
  5. Step 5: Solve for x
    x = 201,082,198,820.88/519,142
  6. Step 6: Final answer
    x = 387,335.64

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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.