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Finding the Fourth Proportional to 571,380, 857,109.60 and 238,956

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Solution

The fourth proportional to 571,380, 857,109.60 and 238,956 is: 358,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,380 : 857,109.60 = 238,956 : x
  2. Step 2: Convert to fraction form
    571,380/857,109.60 = 238,956/x
  3. Step 3: Cross multiply
    571,380x = 857,109.60 × 238,956
  4. Step 4: Simplify right side
    571,380x = 204,811,481,577.60
  5. Step 5: Solve for x
    x = 204,811,481,577.60/571,380
  6. Step 6: Final answer
    x = 358,450.56

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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.