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Finding the Fourth Proportional to 304,715.71, 420,448.03 and 168,743.09

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Solution

The fourth proportional to 304,715.71, 420,448.03 and 168,743.09 is: 232,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,715.71 : 420,448.03 = 168,743.09 : x
  2. Step 2: Convert to fraction form
    304,715.71/420,448.03 = 168,743.09/x
  3. Step 3: Cross multiply
    304,715.71x = 420,448.03 × 168,743.09
  4. Step 4: Simplify right side
    304,715.71x = 70,947,699,766.61
  5. Step 5: Solve for x
    x = 70,947,699,766.61/304,715.71
  6. Step 6: Final answer
    x = 232,832.43

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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.