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Finding the Fourth Proportional to 366,603.12, 505,944.90 and 213,633

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Solution

The fourth proportional to 366,603.12, 505,944.90 and 213,633 is: 294,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,603.12 : 505,944.90 = 213,633 : x
  2. Step 2: Convert to fraction form
    366,603.12/505,944.90 = 213,633/x
  3. Step 3: Cross multiply
    366,603.12x = 505,944.90 × 213,633
  4. Step 4: Simplify right side
    366,603.12x = 108,086,526,821.70
  5. Step 5: Solve for x
    x = 108,086,526,821.70/366,603.12
  6. Step 6: Final answer
    x = 294,832.53

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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.