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Finding the Fourth Proportional to 764,028, 1,146,042 and 238,716

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Solution

The fourth proportional to 764,028, 1,146,042 and 238,716 is: 358,074

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,028 : 1,146,042 = 238,716 : x
  2. Step 2: Convert to fraction form
    764,028/1,146,042 = 238,716/x
  3. Step 3: Cross multiply
    764,028x = 1,146,042 × 238,716
  4. Step 4: Simplify right side
    764,028x = 273,578,562,072
  5. Step 5: Solve for x
    x = 273,578,562,072/764,028
  6. Step 6: Final answer
    x = 358,074

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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.