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Finding the Fourth Proportional to 397,008.95, 595,450.85 and 329,971.32

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Solution

The fourth proportional to 397,008.95, 595,450.85 and 329,971.32 is: 494,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,008.95 : 595,450.85 = 329,971.32 : x
  2. Step 2: Convert to fraction form
    397,008.95/595,450.85 = 329,971.32/x
  3. Step 3: Cross multiply
    397,008.95x = 595,450.85 × 329,971.32
  4. Step 4: Simplify right side
    397,008.95x = 196,481,701,319.77
  5. Step 5: Solve for x
    x = 196,481,701,319.77/397,008.95
  6. Step 6: Final answer
    x = 494,904.97

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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.