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Finding the Fourth Proportional to 405,181.96, 608,154.29 and 205,645.54

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Solution

The fourth proportional to 405,181.96, 608,154.29 and 205,645.54 is: 308,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,181.96 : 608,154.29 = 205,645.54 : x
  2. Step 2: Convert to fraction form
    405,181.96/608,154.29 = 205,645.54/x
  3. Step 3: Cross multiply
    405,181.96x = 608,154.29 × 205,645.54
  4. Step 4: Simplify right side
    405,181.96x = 125,064,217,370.37
  5. Step 5: Solve for x
    x = 125,064,217,370.37/405,181.96
  6. Step 6: Final answer
    x = 308,661.86

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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.