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Finding the Fourth Proportional to 517,817.64, 776,759.94 and 162,845.40

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Solution

The fourth proportional to 517,817.64, 776,759.94 and 162,845.40 is: 244,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,817.64 : 776,759.94 = 162,845.40 : x
  2. Step 2: Convert to fraction form
    517,817.64/776,759.94 = 162,845.40/x
  3. Step 3: Cross multiply
    517,817.64x = 776,759.94 × 162,845.40
  4. Step 4: Simplify right side
    517,817.64x = 126,491,783,133.28
  5. Step 5: Solve for x
    x = 126,491,783,133.28/517,817.64
  6. Step 6: Final answer
    x = 244,278.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.