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Finding the Fourth Proportional to 304,409.82, 420,056.94 and 206,093.08

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Solution

The fourth proportional to 304,409.82, 420,056.94 and 206,093.08 is: 284,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,409.82 : 420,056.94 = 206,093.08 : x
  2. Step 2: Convert to fraction form
    304,409.82/420,056.94 = 206,093.08/x
  3. Step 3: Cross multiply
    304,409.82x = 420,056.94 × 206,093.08
  4. Step 4: Simplify right side
    304,409.82x = 86,570,828,539.98
  5. Step 5: Solve for x
    x = 86,570,828,539.98/304,409.82
  6. Step 6: Final answer
    x = 284,389.08

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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.