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Finding the Fourth Proportional to 519,104.84, 716,257.71 and 298,299.43

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Solution

The fourth proportional to 519,104.84, 716,257.71 and 298,299.43 is: 411,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,104.84 : 716,257.71 = 298,299.43 : x
  2. Step 2: Convert to fraction form
    519,104.84/716,257.71 = 298,299.43/x
  3. Step 3: Cross multiply
    519,104.84x = 716,257.71 × 298,299.43
  4. Step 4: Simplify right side
    519,104.84x = 213,659,266,626.11
  5. Step 5: Solve for x
    x = 213,659,266,626.11/519,104.84
  6. Step 6: Final answer
    x = 411,591.74

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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.