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Finding the Fourth Proportional to 310,473.60, 428,493.18 and 189,589.44

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Solution

The fourth proportional to 310,473.60, 428,493.18 and 189,589.44 is: 261,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,473.60 : 428,493.18 = 189,589.44 : x
  2. Step 2: Convert to fraction form
    310,473.60/428,493.18 = 189,589.44/x
  3. Step 3: Cross multiply
    310,473.60x = 428,493.18 × 189,589.44
  4. Step 4: Simplify right side
    310,473.60x = 81,237,782,040.02
  5. Step 5: Solve for x
    x = 81,237,782,040.02/310,473.60
  6. Step 6: Final answer
    x = 261,657.62

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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.