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Finding the Fourth Proportional to 257,310.72, 355,212 and 171,412.65

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Solution

The fourth proportional to 257,310.72, 355,212 and 171,412.65 is: 236,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,310.72 : 355,212 = 171,412.65 : x
  2. Step 2: Convert to fraction form
    257,310.72/355,212 = 171,412.65/x
  3. Step 3: Cross multiply
    257,310.72x = 355,212 × 171,412.65
  4. Step 4: Simplify right side
    257,310.72x = 60,887,830,231.80
  5. Step 5: Solve for x
    x = 60,887,830,231.80/257,310.72
  6. Step 6: Final answer
    x = 236,631.53

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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.