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Finding the Fourth Proportional to 257,131.79, 384,133.96 and 166,435.62

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Solution

The fourth proportional to 257,131.79, 384,133.96 and 166,435.62 is: 248,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,131.79 : 384,133.96 = 166,435.62 : x
  2. Step 2: Convert to fraction form
    257,131.79/384,133.96 = 166,435.62/x
  3. Step 3: Cross multiply
    257,131.79x = 384,133.96 × 166,435.62
  4. Step 4: Simplify right side
    257,131.79x = 63,933,573,795.66
  5. Step 5: Solve for x
    x = 63,933,573,795.66/257,131.79
  6. Step 6: Final answer
    x = 248,641.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.