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Finding the Fourth Proportional to 264,617, 365,171.46 and 145,385

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Solution

The fourth proportional to 264,617, 365,171.46 and 145,385 is: 200,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,617 : 365,171.46 = 145,385 : x
  2. Step 2: Convert to fraction form
    264,617/365,171.46 = 145,385/x
  3. Step 3: Cross multiply
    264,617x = 365,171.46 × 145,385
  4. Step 4: Simplify right side
    264,617x = 53,090,452,712.10
  5. Step 5: Solve for x
    x = 53,090,452,712.10/264,617
  6. Step 6: Final answer
    x = 200,631.30

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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.