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Finding the Fourth Proportional to 257,796.56, 355,761.69 and 144,621.74

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Solution

The fourth proportional to 257,796.56, 355,761.69 and 144,621.74 is: 199,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,796.56 : 355,761.69 = 144,621.74 : x
  2. Step 2: Convert to fraction form
    257,796.56/355,761.69 = 144,621.74/x
  3. Step 3: Cross multiply
    257,796.56x = 355,761.69 × 144,621.74
  4. Step 4: Simplify right side
    257,796.56x = 51,450,874,980.21
  5. Step 5: Solve for x
    x = 51,450,874,980.21/257,796.56
  6. Step 6: Final answer
    x = 199,579.37

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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.