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Finding the Fourth Proportional to 519,297, 716,629.86 and 280,833

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Solution

The fourth proportional to 519,297, 716,629.86 and 280,833 is: 387,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,297 : 716,629.86 = 280,833 : x
  2. Step 2: Convert to fraction form
    519,297/716,629.86 = 280,833/x
  3. Step 3: Cross multiply
    519,297x = 716,629.86 × 280,833
  4. Step 4: Simplify right side
    519,297x = 201,253,313,473.38
  5. Step 5: Solve for x
    x = 201,253,313,473.38/519,297
  6. Step 6: Final answer
    x = 387,549.54

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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.