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Finding the Fourth Proportional to 305,986.72, 458,651.94 and 147,997.84

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Solution

The fourth proportional to 305,986.72, 458,651.94 and 147,997.84 is: 221,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,986.72 : 458,651.94 = 147,997.84 : x
  2. Step 2: Convert to fraction form
    305,986.72/458,651.94 = 147,997.84/x
  3. Step 3: Cross multiply
    305,986.72x = 458,651.94 × 147,997.84
  4. Step 4: Simplify right side
    305,986.72x = 67,879,496,431.81
  5. Step 5: Solve for x
    x = 67,879,496,431.81/305,986.72
  6. Step 6: Final answer
    x = 221,838.05

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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.