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Finding the Fourth Proportional to 366,611.91, 505,923.23 and 213,740.61

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Solution

The fourth proportional to 366,611.91, 505,923.23 and 213,740.61 is: 294,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,611.91 : 505,923.23 = 213,740.61 : x
  2. Step 2: Convert to fraction form
    366,611.91/505,923.23 = 213,740.61/x
  3. Step 3: Cross multiply
    366,611.91x = 505,923.23 × 213,740.61
  4. Step 4: Simplify right side
    366,611.91x = 108,136,338,430.51
  5. Step 5: Solve for x
    x = 108,136,338,430.51/366,611.91
  6. Step 6: Final answer
    x = 294,961.34

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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.