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Finding the Fourth Proportional to 304,407.82, 420,054.19 and 206,091.07

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Solution

The fourth proportional to 304,407.82, 420,054.19 and 206,091.07 is: 284,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,407.82 : 420,054.19 = 206,091.07 : x
  2. Step 2: Convert to fraction form
    304,407.82/420,054.19 = 206,091.07/x
  3. Step 3: Cross multiply
    304,407.82x = 420,054.19 × 206,091.07
  4. Step 4: Simplify right side
    304,407.82x = 86,569,417,475.08
  5. Step 5: Solve for x
    x = 86,569,417,475.08/304,407.82
  6. Step 6: Final answer
    x = 284,386.31

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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.