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Finding the Fourth Proportional to 213,603.42, 320,405.94 and 200,612.64

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Solution

The fourth proportional to 213,603.42, 320,405.94 and 200,612.64 is: 300,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,603.42 : 320,405.94 = 200,612.64 : x
  2. Step 2: Convert to fraction form
    213,603.42/320,405.94 = 200,612.64/x
  3. Step 3: Cross multiply
    213,603.42x = 320,405.94 × 200,612.64
  4. Step 4: Simplify right side
    213,603.42x = 64,277,481,495.08
  5. Step 5: Solve for x
    x = 64,277,481,495.08/213,603.42
  6. Step 6: Final answer
    x = 300,919.72

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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.