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Finding the Fourth Proportional to 257,410.53, 355,015.91 and 181,181.97

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Solution

The fourth proportional to 257,410.53, 355,015.91 and 181,181.97 is: 249,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,410.53 : 355,015.91 = 181,181.97 : x
  2. Step 2: Convert to fraction form
    257,410.53/355,015.91 = 181,181.97/x
  3. Step 3: Cross multiply
    257,410.53x = 355,015.91 × 181,181.97
  4. Step 4: Simplify right side
    257,410.53x = 64,322,481,955.14
  5. Step 5: Solve for x
    x = 64,322,481,955.14/257,410.53
  6. Step 6: Final answer
    x = 249,882.87

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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.