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Finding the Fourth Proportional to 343,755.56, 515,647.32 and 163,748.45

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Solution

The fourth proportional to 343,755.56, 515,647.32 and 163,748.45 is: 245,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,755.56 : 515,647.32 = 163,748.45 : x
  2. Step 2: Convert to fraction form
    343,755.56/515,647.32 = 163,748.45/x
  3. Step 3: Cross multiply
    343,755.56x = 515,647.32 × 163,748.45
  4. Step 4: Simplify right side
    343,755.56x = 84,436,446,818.42
  5. Step 5: Solve for x
    x = 84,436,446,818.42/343,755.56
  6. Step 6: Final answer
    x = 245,629.33

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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.