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Finding the Fourth Proportional to 210,014, 313,682.03 and 189,992.62

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Solution

The fourth proportional to 210,014, 313,682.03 and 189,992.62 is: 283,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,014 : 313,682.03 = 189,992.62 : x
  2. Step 2: Convert to fraction form
    210,014/313,682.03 = 189,992.62/x
  3. Step 3: Cross multiply
    210,014x = 313,682.03 × 189,992.62
  4. Step 4: Simplify right side
    210,014x = 59,597,270,726.62
  5. Step 5: Solve for x
    x = 59,597,270,726.62/210,014
  6. Step 6: Final answer
    x = 283,777.61

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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.