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Finding the Fourth Proportional to 331,368.63, 457,301.66 and 188,142

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Solution

The fourth proportional to 331,368.63, 457,301.66 and 188,142 is: 259,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,368.63 : 457,301.66 = 188,142 : x
  2. Step 2: Convert to fraction form
    331,368.63/457,301.66 = 188,142/x
  3. Step 3: Cross multiply
    331,368.63x = 457,301.66 × 188,142
  4. Step 4: Simplify right side
    331,368.63x = 86,037,647,975.01
  5. Step 5: Solve for x
    x = 86,037,647,975.01/331,368.63
  6. Step 6: Final answer
    x = 259,643.31

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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.