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Finding the Fourth Proportional to 305,778.98, 421,980.63 and 169,825.61

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Solution

The fourth proportional to 305,778.98, 421,980.63 and 169,825.61 is: 234,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,778.98 : 421,980.63 = 169,825.61 : x
  2. Step 2: Convert to fraction form
    305,778.98/421,980.63 = 169,825.61/x
  3. Step 3: Cross multiply
    305,778.98x = 421,980.63 × 169,825.61
  4. Step 4: Simplify right side
    305,778.98x = 71,663,118,528.32
  5. Step 5: Solve for x
    x = 71,663,118,528.32/305,778.98
  6. Step 6: Final answer
    x = 234,362.47

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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.