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Finding the Fourth Proportional to 344,568.06, 517,028.76 and 142,314.30

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Solution

The fourth proportional to 344,568.06, 517,028.76 and 142,314.30 is: 213,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,568.06 : 517,028.76 = 142,314.30 : x
  2. Step 2: Convert to fraction form
    344,568.06/517,028.76 = 142,314.30/x
  3. Step 3: Cross multiply
    344,568.06x = 517,028.76 × 142,314.30
  4. Step 4: Simplify right side
    344,568.06x = 73,580,586,059.27
  5. Step 5: Solve for x
    x = 73,580,586,059.27/344,568.06
  6. Step 6: Final answer
    x = 213,544.42

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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.