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Finding the Fourth Proportional to 434,453.88, 650,832.43 and 206,424.98

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Solution

The fourth proportional to 434,453.88, 650,832.43 and 206,424.98 is: 309,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,453.88 : 650,832.43 = 206,424.98 : x
  2. Step 2: Convert to fraction form
    434,453.88/650,832.43 = 206,424.98/x
  3. Step 3: Cross multiply
    434,453.88x = 650,832.43 × 206,424.98
  4. Step 4: Simplify right side
    434,453.88x = 134,348,071,965.27
  5. Step 5: Solve for x
    x = 134,348,071,965.27/434,453.88
  6. Step 6: Final answer
    x = 309,234.37

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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.