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Finding the Fourth Proportional to 290,964.36, 436,048.41 and 219,828.54

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Solution

The fourth proportional to 290,964.36, 436,048.41 and 219,828.54 is: 329,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,964.36 : 436,048.41 = 219,828.54 : x
  2. Step 2: Convert to fraction form
    290,964.36/436,048.41 = 219,828.54/x
  3. Step 3: Cross multiply
    290,964.36x = 436,048.41 × 219,828.54
  4. Step 4: Simplify right side
    290,964.36x = 95,855,885,339.62
  5. Step 5: Solve for x
    x = 95,855,885,339.62/290,964.36
  6. Step 6: Final answer
    x = 329,442.02

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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.