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Finding the Fourth Proportional to 309,447.58, 463,383.60 and 203,946.70

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Solution

The fourth proportional to 309,447.58, 463,383.60 and 203,946.70 is: 305,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,447.58 : 463,383.60 = 203,946.70 : x
  2. Step 2: Convert to fraction form
    309,447.58/463,383.60 = 203,946.70/x
  3. Step 3: Cross multiply
    309,447.58x = 463,383.60 × 203,946.70
  4. Step 4: Simplify right side
    309,447.58x = 94,505,556,054.12
  5. Step 5: Solve for x
    x = 94,505,556,054.12/309,447.58
  6. Step 6: Final answer
    x = 305,400.86

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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.