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Finding the Fourth Proportional to 305,739.95, 421,907.03 and 169,782.58

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Solution

The fourth proportional to 305,739.95, 421,907.03 and 169,782.58 is: 234,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,739.95 : 421,907.03 = 169,782.58 : x
  2. Step 2: Convert to fraction form
    305,739.95/421,907.03 = 169,782.58/x
  3. Step 3: Cross multiply
    305,739.95x = 421,907.03 × 169,782.58
  4. Step 4: Simplify right side
    305,739.95x = 71,632,464,388.69
  5. Step 5: Solve for x
    x = 71,632,464,388.69/305,739.95
  6. Step 6: Final answer
    x = 234,292.13

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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.