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Finding the Fourth Proportional to 490,153.73, 735,355.32 and 287,920.85

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Solution

The fourth proportional to 490,153.73, 735,355.32 and 287,920.85 is: 431,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,153.73 : 735,355.32 = 287,920.85 : x
  2. Step 2: Convert to fraction form
    490,153.73/735,355.32 = 287,920.85/x
  3. Step 3: Cross multiply
    490,153.73x = 735,355.32 × 287,920.85
  4. Step 4: Simplify right side
    490,153.73x = 211,724,125,649.50
  5. Step 5: Solve for x
    x = 211,724,125,649.50/490,153.73
  6. Step 6: Final answer
    x = 431,954.54

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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.