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Finding the Fourth Proportional to 764,076, 1,146,114 and 238,764

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Solution

The fourth proportional to 764,076, 1,146,114 and 238,764 is: 358,146

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,076 : 1,146,114 = 238,764 : x
  2. Step 2: Convert to fraction form
    764,076/1,146,114 = 238,764/x
  3. Step 3: Cross multiply
    764,076x = 1,146,114 × 238,764
  4. Step 4: Simplify right side
    764,076x = 273,650,763,096
  5. Step 5: Solve for x
    x = 273,650,763,096/764,076
  6. Step 6: Final answer
    x = 358,146

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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.