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Finding the Fourth Proportional to 405,635.58, 608,454.41 and 165,749.49

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Solution

The fourth proportional to 405,635.58, 608,454.41 and 165,749.49 is: 248,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,635.58 : 608,454.41 = 165,749.49 : x
  2. Step 2: Convert to fraction form
    405,635.58/608,454.41 = 165,749.49/x
  3. Step 3: Cross multiply
    405,635.58x = 608,454.41 × 165,749.49
  4. Step 4: Simplify right side
    405,635.58x = 100,851,004,274.73
  5. Step 5: Solve for x
    x = 100,851,004,274.73/405,635.58
  6. Step 6: Final answer
    x = 248,624.65

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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.