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Finding the Fourth Proportional to 764,019, 1,146,555 and 265,383

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Solution

The fourth proportional to 764,019, 1,146,555 and 265,383 is: 398,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,019 : 1,146,555 = 265,383 : x
  2. Step 2: Convert to fraction form
    764,019/1,146,555 = 265,383/x
  3. Step 3: Cross multiply
    764,019x = 1,146,555 × 265,383
  4. Step 4: Simplify right side
    764,019x = 304,276,205,565
  5. Step 5: Solve for x
    x = 304,276,205,565/764,019
  6. Step 6: Final answer
    x = 398,257.38

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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.