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Finding the Fourth Proportional to 203,192.96, 280,213.44 and 155,448.32

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Solution

The fourth proportional to 203,192.96, 280,213.44 and 155,448.32 is: 214,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,192.96 : 280,213.44 = 155,448.32 : x
  2. Step 2: Convert to fraction form
    203,192.96/280,213.44 = 155,448.32/x
  3. Step 3: Cross multiply
    203,192.96x = 280,213.44 × 155,448.32
  4. Step 4: Simplify right side
    203,192.96x = 43,558,708,489.42
  5. Step 5: Solve for x
    x = 43,558,708,489.42/203,192.96
  6. Step 6: Final answer
    x = 214,371.15

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1.5x scale

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.