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Finding the Fourth Proportional to 519,039.64, 716,275.74 and 280,575.64

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Solution

The fourth proportional to 519,039.64, 716,275.74 and 280,575.64 is: 387,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,039.64 : 716,275.74 = 280,575.64 : x
  2. Step 2: Convert to fraction form
    519,039.64/716,275.74 = 280,575.64/x
  3. Step 3: Cross multiply
    519,039.64x = 716,275.74 × 280,575.64
  4. Step 4: Simplify right side
    519,039.64x = 200,969,524,166.97
  5. Step 5: Solve for x
    x = 200,969,524,166.97/519,039.64
  6. Step 6: Final answer
    x = 387,194.94

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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.