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Finding the Fourth Proportional to 336,678.16, 465,231.78 and 320,277.28

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Solution

The fourth proportional to 336,678.16, 465,231.78 and 320,277.28 is: 442,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,678.16 : 465,231.78 = 320,277.28 : x
  2. Step 2: Convert to fraction form
    336,678.16/465,231.78 = 320,277.28/x
  3. Step 3: Cross multiply
    336,678.16x = 465,231.78 × 320,277.28
  4. Step 4: Simplify right side
    336,678.16x = 149,003,169,067.96
  5. Step 5: Solve for x
    x = 149,003,169,067.96/336,678.16
  6. Step 6: Final answer
    x = 442,568.56

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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.