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Finding the Fourth Proportional to 437,676.75, 656,515.13 and 105,252.75

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Solution

The fourth proportional to 437,676.75, 656,515.13 and 105,252.75 is: 157,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,676.75 : 656,515.13 = 105,252.75 : x
  2. Step 2: Convert to fraction form
    437,676.75/656,515.13 = 105,252.75/x
  3. Step 3: Cross multiply
    437,676.75x = 656,515.13 × 105,252.75
  4. Step 4: Simplify right side
    437,676.75x = 69,100,022,322.84
  5. Step 5: Solve for x
    x = 69,100,022,322.84/437,676.75
  6. Step 6: Final answer
    x = 157,879.13

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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.