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Finding the Fourth Proportional to 309,556.64, 427,007.17 and 194,653.43

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Solution

The fourth proportional to 309,556.64, 427,007.17 and 194,653.43 is: 268,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,556.64 : 427,007.17 = 194,653.43 : x
  2. Step 2: Convert to fraction form
    309,556.64/427,007.17 = 194,653.43/x
  3. Step 3: Cross multiply
    309,556.64x = 427,007.17 × 194,653.43
  4. Step 4: Simplify right side
    309,556.64x = 83,118,407,653.42
  5. Step 5: Solve for x
    x = 83,118,407,653.42/309,556.64
  6. Step 6: Final answer
    x = 268,507.92

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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.