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Finding the Fourth Proportional to 580,447.85, 800,972.23 and 322,300.45

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Solution

The fourth proportional to 580,447.85, 800,972.23 and 322,300.45 is: 444,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,447.85 : 800,972.23 = 322,300.45 : x
  2. Step 2: Convert to fraction form
    580,447.85/800,972.23 = 322,300.45/x
  3. Step 3: Cross multiply
    580,447.85x = 800,972.23 × 322,300.45
  4. Step 4: Simplify right side
    580,447.85x = 258,153,704,550.14
  5. Step 5: Solve for x
    x = 258,153,704,550.14/580,447.85
  6. Step 6: Final answer
    x = 444,749.18

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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.