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Finding the Fourth Proportional to 257,268.42, 355,018.41 and 140,975.91

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Solution

The fourth proportional to 257,268.42, 355,018.41 and 140,975.91 is: 194,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,268.42 : 355,018.41 = 140,975.91 : x
  2. Step 2: Convert to fraction form
    257,268.42/355,018.41 = 140,975.91/x
  3. Step 3: Cross multiply
    257,268.42x = 355,018.41 × 140,975.91
  4. Step 4: Simplify right side
    257,268.42x = 50,049,043,416.50
  5. Step 5: Solve for x
    x = 50,049,043,416.50/257,268.42
  6. Step 6: Final answer
    x = 194,540.17

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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.