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Finding the Fourth Proportional to 304,962, 420,847.68 and 170,826

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Solution

The fourth proportional to 304,962, 420,847.68 and 170,826 is: 235,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,962 : 420,847.68 = 170,826 : x
  2. Step 2: Convert to fraction form
    304,962/420,847.68 = 170,826/x
  3. Step 3: Cross multiply
    304,962x = 420,847.68 × 170,826
  4. Step 4: Simplify right side
    304,962x = 71,891,725,783.68
  5. Step 5: Solve for x
    x = 71,891,725,783.68/304,962
  6. Step 6: Final answer
    x = 235,739.95

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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.