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Finding the Fourth Proportional to 211,286.86, 316,215.87 and 205,600.66

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Solution

The fourth proportional to 211,286.86, 316,215.87 and 205,600.66 is: 307,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,286.86 : 316,215.87 = 205,600.66 : x
  2. Step 2: Convert to fraction form
    211,286.86/316,215.87 = 205,600.66/x
  3. Step 3: Cross multiply
    211,286.86x = 316,215.87 × 205,600.66
  4. Step 4: Simplify right side
    211,286.86x = 65,014,191,574.47
  5. Step 5: Solve for x
    x = 65,014,191,574.47/211,286.86
  6. Step 6: Final answer
    x = 307,705.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.