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Finding the Fourth Proportional to 490,446.90, 735,665.49 and 290,623.34

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Solution

The fourth proportional to 490,446.90, 735,665.49 and 290,623.34 is: 435,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,446.90 : 735,665.49 = 290,623.34 : x
  2. Step 2: Convert to fraction form
    490,446.90/735,665.49 = 290,623.34/x
  3. Step 3: Cross multiply
    490,446.90x = 735,665.49 × 290,623.34
  4. Step 4: Simplify right side
    490,446.90x = 213,801,563,665.70
  5. Step 5: Solve for x
    x = 213,801,563,665.70/490,446.90
  6. Step 6: Final answer
    x = 435,932.13

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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.