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Finding the Fourth Proportional to 305,115.89, 421,043.29 and 169,141.90

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Solution

The fourth proportional to 305,115.89, 421,043.29 and 169,141.90 is: 233,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,115.89 : 421,043.29 = 169,141.90 : x
  2. Step 2: Convert to fraction form
    305,115.89/421,043.29 = 169,141.90/x
  3. Step 3: Cross multiply
    305,115.89x = 421,043.29 × 169,141.90
  4. Step 4: Simplify right side
    305,115.89x = 71,216,060,658.37
  5. Step 5: Solve for x
    x = 71,216,060,658.37/305,115.89
  6. Step 6: Final answer
    x = 233,406.60

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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.