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Finding the Fourth Proportional to 405,635.64, 608,454.50 and 165,749.55

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Solution

The fourth proportional to 405,635.64, 608,454.50 and 165,749.55 is: 248,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,635.64 : 608,454.50 = 165,749.55 : x
  2. Step 2: Convert to fraction form
    405,635.64/608,454.50 = 165,749.55/x
  3. Step 3: Cross multiply
    405,635.64x = 608,454.50 × 165,749.55
  4. Step 4: Simplify right side
    405,635.64x = 100,851,057,392.36
  5. Step 5: Solve for x
    x = 100,851,057,392.36/405,635.64
  6. Step 6: Final answer
    x = 248,624.74

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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.