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Finding the Fourth Proportional to 264,550, 365,079 and 145,318

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Solution

The fourth proportional to 264,550, 365,079 and 145,318 is: 200,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,550 : 365,079 = 145,318 : x
  2. Step 2: Convert to fraction form
    264,550/365,079 = 145,318/x
  3. Step 3: Cross multiply
    264,550x = 365,079 × 145,318
  4. Step 4: Simplify right side
    264,550x = 53,052,550,122
  5. Step 5: Solve for x
    x = 53,052,550,122/264,550
  6. Step 6: Final answer
    x = 200,538.84

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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.