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Finding the Fourth Proportional to 304,934, 420,808.92 and 170,798

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Solution

The fourth proportional to 304,934, 420,808.92 and 170,798 is: 235,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,934 : 420,808.92 = 170,798 : x
  2. Step 2: Convert to fraction form
    304,934/420,808.92 = 170,798/x
  3. Step 3: Cross multiply
    304,934x = 420,808.92 × 170,798
  4. Step 4: Simplify right side
    304,934x = 71,873,321,918.16
  5. Step 5: Solve for x
    x = 71,873,321,918.16/304,934
  6. Step 6: Final answer
    x = 235,701.24

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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.