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Finding the Fourth Proportional to 304,634.14, 420,384.80 and 168,673.82

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Solution

The fourth proportional to 304,634.14, 420,384.80 and 168,673.82 is: 232,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,634.14 : 420,384.80 = 168,673.82 : x
  2. Step 2: Convert to fraction form
    304,634.14/420,384.80 = 168,673.82/x
  3. Step 3: Cross multiply
    304,634.14x = 420,384.80 × 168,673.82
  4. Step 4: Simplify right side
    304,634.14x = 70,907,908,405.70
  5. Step 5: Solve for x
    x = 70,907,908,405.70/304,634.14
  6. Step 6: Final answer
    x = 232,764.16

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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.