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Finding the Fourth Proportional to 305,025.75, 420,950.52 and 184,164.84

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Solution

The fourth proportional to 305,025.75, 420,950.52 and 184,164.84 is: 254,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,025.75 : 420,950.52 = 184,164.84 : x
  2. Step 2: Convert to fraction form
    305,025.75/420,950.52 = 184,164.84/x
  3. Step 3: Cross multiply
    305,025.75x = 420,950.52 × 184,164.84
  4. Step 4: Simplify right side
    305,025.75x = 77,524,285,163.72
  5. Step 5: Solve for x
    x = 77,524,285,163.72/305,025.75
  6. Step 6: Final answer
    x = 254,156.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.