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Finding the Fourth Proportional to 584,441, 806,391.50 and 354,991.90

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Solution

The fourth proportional to 584,441, 806,391.50 and 354,991.90 is: 489,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,441 : 806,391.50 = 354,991.90 : x
  2. Step 2: Convert to fraction form
    584,441/806,391.50 = 354,991.90/x
  3. Step 3: Cross multiply
    584,441x = 806,391.50 × 354,991.90
  4. Step 4: Simplify right side
    584,441x = 286,262,450,728.85
  5. Step 5: Solve for x
    x = 286,262,450,728.85/584,441
  6. Step 6: Final answer
    x = 489,805.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.