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Finding the Fourth Proportional to 290,085.44, 435,446.37 and 230,496.98

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Solution

The fourth proportional to 290,085.44, 435,446.37 and 230,496.98 is: 345,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,085.44 : 435,446.37 = 230,496.98 : x
  2. Step 2: Convert to fraction form
    290,085.44/435,446.37 = 230,496.98/x
  3. Step 3: Cross multiply
    290,085.44x = 435,446.37 × 230,496.98
  4. Step 4: Simplify right side
    290,085.44x = 100,369,071,059.73
  5. Step 5: Solve for x
    x = 100,369,071,059.73/290,085.44
  6. Step 6: Final answer
    x = 345,998.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.