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Finding the Fourth Proportional to 305,464.56, 458,378.28 and 165,220.08

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Solution

The fourth proportional to 305,464.56, 458,378.28 and 165,220.08 is: 247,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,464.56 : 458,378.28 = 165,220.08 : x
  2. Step 2: Convert to fraction form
    305,464.56/458,378.28 = 165,220.08/x
  3. Step 3: Cross multiply
    305,464.56x = 458,378.28 × 165,220.08
  4. Step 4: Simplify right side
    305,464.56x = 75,733,296,091.86
  5. Step 5: Solve for x
    x = 75,733,296,091.86/305,464.56
  6. Step 6: Final answer
    x = 247,928.26

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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.