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Finding the Fourth Proportional to 519,138, 716,410.44 and 280,674

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Solution

The fourth proportional to 519,138, 716,410.44 and 280,674 is: 387,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,138 : 716,410.44 = 280,674 : x
  2. Step 2: Convert to fraction form
    519,138/716,410.44 = 280,674/x
  3. Step 3: Cross multiply
    519,138x = 716,410.44 × 280,674
  4. Step 4: Simplify right side
    519,138x = 201,077,783,836.56
  5. Step 5: Solve for x
    x = 201,077,783,836.56/519,138
  6. Step 6: Final answer
    x = 387,330.12

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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.