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Finding the Fourth Proportional to 764,021, 1,146,558 and 265,385

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Solution

The fourth proportional to 764,021, 1,146,558 and 265,385 is: 398,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,021 : 1,146,558 = 265,385 : x
  2. Step 2: Convert to fraction form
    764,021/1,146,558 = 265,385/x
  3. Step 3: Cross multiply
    764,021x = 1,146,558 × 265,385
  4. Step 4: Simplify right side
    764,021x = 304,279,294,830
  5. Step 5: Solve for x
    x = 304,279,294,830/764,021
  6. Step 6: Final answer
    x = 398,260.38

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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.