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Finding the Fourth Proportional to 519,116, 716,380.24 and 280,652

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Solution

The fourth proportional to 519,116, 716,380.24 and 280,652 is: 387,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,116 : 716,380.24 = 280,652 : x
  2. Step 2: Convert to fraction form
    519,116/716,380.24 = 280,652/x
  3. Step 3: Cross multiply
    519,116x = 716,380.24 × 280,652
  4. Step 4: Simplify right side
    519,116x = 201,053,547,116.48
  5. Step 5: Solve for x
    x = 201,053,547,116.48/519,116
  6. Step 6: Final answer
    x = 387,299.85

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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.