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Finding the Fourth Proportional to 580,857.48, 801,586.53 and 322,734.78

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Solution

The fourth proportional to 580,857.48, 801,586.53 and 322,734.78 is: 445,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,857.48 : 801,586.53 = 322,734.78 : x
  2. Step 2: Convert to fraction form
    580,857.48/801,586.53 = 322,734.78/x
  3. Step 3: Cross multiply
    580,857.48x = 801,586.53 × 322,734.78
  4. Step 4: Simplify right side
    580,857.48x = 258,699,852,410.51
  5. Step 5: Solve for x
    x = 258,699,852,410.51/580,857.48
  6. Step 6: Final answer
    x = 445,375.78

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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.