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Finding the Fourth Proportional to 211,287.86, 316,217.36 and 205,601.66

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Solution

The fourth proportional to 211,287.86, 316,217.36 and 205,601.66 is: 307,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,287.86 : 316,217.36 = 205,601.66 : x
  2. Step 2: Convert to fraction form
    211,287.86/316,217.36 = 205,601.66/x
  3. Step 3: Cross multiply
    211,287.86x = 316,217.36 × 205,601.66
  4. Step 4: Simplify right side
    211,287.86x = 65,014,814,136.82
  5. Step 5: Solve for x
    x = 65,014,814,136.82/211,287.86
  6. Step 6: Final answer
    x = 307,707.29

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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.