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Finding the Fourth Proportional to 257,642, 355,425 and 182,232.08

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Solution

The fourth proportional to 257,642, 355,425 and 182,232.08 is: 251,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,642 : 355,425 = 182,232.08 : x
  2. Step 2: Convert to fraction form
    257,642/355,425 = 182,232.08/x
  3. Step 3: Cross multiply
    257,642x = 355,425 × 182,232.08
  4. Step 4: Simplify right side
    257,642x = 64,769,837,034.00
  5. Step 5: Solve for x
    x = 64,769,837,034.00/257,642
  6. Step 6: Final answer
    x = 251,394.71

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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.