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Finding the Fourth Proportional to 366,821.26, 506,218.52 and 221,606.86

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Solution

The fourth proportional to 366,821.26, 506,218.52 and 221,606.86 is: 305,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,821.26 : 506,218.52 = 221,606.86 : x
  2. Step 2: Convert to fraction form
    366,821.26/506,218.52 = 221,606.86/x
  3. Step 3: Cross multiply
    366,821.26x = 506,218.52 × 221,606.86
  4. Step 4: Simplify right side
    366,821.26x = 112,181,493,051.92
  5. Step 5: Solve for x
    x = 112,181,493,051.92/366,821.26
  6. Step 6: Final answer
    x = 305,820.59

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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.