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Finding the Fourth Proportional to 257,690.46, 355,772.34 and 171,770.52

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Solution

The fourth proportional to 257,690.46, 355,772.34 and 171,770.52 is: 237,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,690.46 : 355,772.34 = 171,770.52 : x
  2. Step 2: Convert to fraction form
    257,690.46/355,772.34 = 171,770.52/x
  3. Step 3: Cross multiply
    257,690.46x = 355,772.34 × 171,770.52
  4. Step 4: Simplify right side
    257,690.46x = 61,111,199,843.42
  5. Step 5: Solve for x
    x = 61,111,199,843.42/257,690.46
  6. Step 6: Final answer
    x = 237,149.64

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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.