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Finding the Fourth Proportional to 304,815.76, 420,645.69 and 168,858.51

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Solution

The fourth proportional to 304,815.76, 420,645.69 and 168,858.51 is: 233,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,815.76 : 420,645.69 = 168,858.51 : x
  2. Step 2: Convert to fraction form
    304,815.76/420,645.69 = 168,858.51/x
  3. Step 3: Cross multiply
    304,815.76x = 420,645.69 × 168,858.51
  4. Step 4: Simplify right side
    304,815.76x = 71,029,602,873.90
  5. Step 5: Solve for x
    x = 71,029,602,873.90/304,815.76
  6. Step 6: Final answer
    x = 233,024.71

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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.