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Finding the Fourth Proportional to 285,034.23, 393,175.86 and 188,238.98

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Solution

The fourth proportional to 285,034.23, 393,175.86 and 188,238.98 is: 259,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,034.23 : 393,175.86 = 188,238.98 : x
  2. Step 2: Convert to fraction form
    285,034.23/393,175.86 = 188,238.98/x
  3. Step 3: Cross multiply
    285,034.23x = 393,175.86 × 188,238.98
  4. Step 4: Simplify right side
    285,034.23x = 74,011,019,939.95
  5. Step 5: Solve for x
    x = 74,011,019,939.95/285,034.23
  6. Step 6: Final answer
    x = 259,656.60

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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.