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Finding the Fourth Proportional to 397,883.90, 596,832.06 and 221,511.89

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Solution

The fourth proportional to 397,883.90, 596,832.06 and 221,511.89 is: 332,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,883.90 : 596,832.06 = 221,511.89 : x
  2. Step 2: Convert to fraction form
    397,883.90/596,832.06 = 221,511.89/x
  3. Step 3: Cross multiply
    397,883.90x = 596,832.06 × 221,511.89
  4. Step 4: Simplify right side
    397,883.90x = 132,205,397,623.19
  5. Step 5: Solve for x
    x = 132,205,397,623.19/397,883.90
  6. Step 6: Final answer
    x = 332,271.29

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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.