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Finding the Fourth Proportional to 257,502.31, 355,317.24 and 149,989.39

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Solution

The fourth proportional to 257,502.31, 355,317.24 and 149,989.39 is: 206,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,502.31 : 355,317.24 = 149,989.39 : x
  2. Step 2: Convert to fraction form
    257,502.31/355,317.24 = 149,989.39/x
  3. Step 3: Cross multiply
    257,502.31x = 355,317.24 × 149,989.39
  4. Step 4: Simplify right side
    257,502.31x = 53,293,816,084.08
  5. Step 5: Solve for x
    x = 53,293,816,084.08/257,502.31
  6. Step 6: Final answer
    x = 206,964.42

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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.