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Finding the Fourth Proportional to 305,379.04, 421,424.15 and 169,415.68

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Solution

The fourth proportional to 305,379.04, 421,424.15 and 169,415.68 is: 233,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,379.04 : 421,424.15 = 169,415.68 : x
  2. Step 2: Convert to fraction form
    305,379.04/421,424.15 = 169,415.68/x
  3. Step 3: Cross multiply
    305,379.04x = 421,424.15 × 169,415.68
  4. Step 4: Simplify right side
    305,379.04x = 71,395,858,940.67
  5. Step 5: Solve for x
    x = 71,395,858,940.67/305,379.04
  6. Step 6: Final answer
    x = 233,794.23

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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.