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Finding the Fourth Proportional to 304,825.12, 420,653.16 and 168,858.65

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Solution

The fourth proportional to 304,825.12, 420,653.16 and 168,858.65 is: 233,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,825.12 : 420,653.16 = 168,858.65 : x
  2. Step 2: Convert to fraction form
    304,825.12/420,653.16 = 168,858.65/x
  3. Step 3: Cross multiply
    304,825.12x = 420,653.16 × 168,858.65
  4. Step 4: Simplify right side
    304,825.12x = 71,030,921,768.28
  5. Step 5: Solve for x
    x = 71,030,921,768.28/304,825.12
  6. Step 6: Final answer
    x = 233,021.88

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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.