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Finding the Fourth Proportional to 328,610.32, 453,598.44 and 194,474

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Solution

The fourth proportional to 328,610.32, 453,598.44 and 194,474 is: 268,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,610.32 : 453,598.44 = 194,474 : x
  2. Step 2: Convert to fraction form
    328,610.32/453,598.44 = 194,474/x
  3. Step 3: Cross multiply
    328,610.32x = 453,598.44 × 194,474
  4. Step 4: Simplify right side
    328,610.32x = 88,213,103,020.56
  5. Step 5: Solve for x
    x = 88,213,103,020.56/328,610.32
  6. Step 6: Final answer
    x = 268,442.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.