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Finding the Fourth Proportional to 290,086.44, 435,447.87 and 230,497.98

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Solution

The fourth proportional to 290,086.44, 435,447.87 and 230,497.98 is: 345,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,086.44 : 435,447.87 = 230,497.98 : x
  2. Step 2: Convert to fraction form
    290,086.44/435,447.87 = 230,497.98/x
  3. Step 3: Cross multiply
    290,086.44x = 435,447.87 × 230,497.98
  4. Step 4: Simplify right side
    290,086.44x = 100,369,854,430.30
  5. Step 5: Solve for x
    x = 100,369,854,430.30/290,086.44
  6. Step 6: Final answer
    x = 345,999.81

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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.