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Finding the Fourth Proportional to 304,524.14, 420,364.23 and 206,429.90

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Solution

The fourth proportional to 304,524.14, 420,364.23 and 206,429.90 is: 284,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,524.14 : 420,364.23 = 206,429.90 : x
  2. Step 2: Convert to fraction form
    304,524.14/420,364.23 = 206,429.90/x
  3. Step 3: Cross multiply
    304,524.14x = 420,364.23 × 206,429.90
  4. Step 4: Simplify right side
    304,524.14x = 86,775,745,962.48
  5. Step 5: Solve for x
    x = 86,775,745,962.48/304,524.14
  6. Step 6: Final answer
    x = 284,955.23

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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.