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Finding the Fourth Proportional to 305,382.85, 458,113 and 115,909.37

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Solution

The fourth proportional to 305,382.85, 458,113 and 115,909.37 is: 173,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,382.85 : 458,113 = 115,909.37 : x
  2. Step 2: Convert to fraction form
    305,382.85/458,113 = 115,909.37/x
  3. Step 3: Cross multiply
    305,382.85x = 458,113 × 115,909.37
  4. Step 4: Simplify right side
    305,382.85x = 53,099,589,218.81
  5. Step 5: Solve for x
    x = 53,099,589,218.81/305,382.85
  6. Step 6: Final answer
    x = 173,878.75

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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.