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Finding the Fourth Proportional to 213,602.42, 320,404.44 and 200,611.64

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Solution

The fourth proportional to 213,602.42, 320,404.44 and 200,611.64 is: 300,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,602.42 : 320,404.44 = 200,611.64 : x
  2. Step 2: Convert to fraction form
    213,602.42/320,404.44 = 200,611.64/x
  3. Step 3: Cross multiply
    213,602.42x = 320,404.44 × 200,611.64
  4. Step 4: Simplify right side
    213,602.42x = 64,276,860,171.68
  5. Step 5: Solve for x
    x = 64,276,860,171.68/213,602.42
  6. Step 6: Final answer
    x = 300,918.22

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1.5x scale

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.