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Finding the Fourth Proportional to 305,626.72, 458,202.48 and 145,620.64

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Solution

The fourth proportional to 305,626.72, 458,202.48 and 145,620.64 is: 218,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,626.72 : 458,202.48 = 145,620.64 : x
  2. Step 2: Convert to fraction form
    305,626.72/458,202.48 = 145,620.64/x
  3. Step 3: Cross multiply
    305,626.72x = 458,202.48 × 145,620.64
  4. Step 4: Simplify right side
    305,626.72x = 66,723,738,387.19
  5. Step 5: Solve for x
    x = 66,723,738,387.19/305,626.72
  6. Step 6: Final answer
    x = 218,317.75

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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.