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Finding the Fourth Proportional to 264,551, 365,080.38 and 145,319

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Solution

The fourth proportional to 264,551, 365,080.38 and 145,319 is: 200,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,551 : 365,080.38 = 145,319 : x
  2. Step 2: Convert to fraction form
    264,551/365,080.38 = 145,319/x
  3. Step 3: Cross multiply
    264,551x = 365,080.38 × 145,319
  4. Step 4: Simplify right side
    264,551x = 53,053,115,741.22
  5. Step 5: Solve for x
    x = 53,053,115,741.22/264,551
  6. Step 6: Final answer
    x = 200,540.22

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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.