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Finding the Fourth Proportional to 421,802.81, 582,099.31 and 258,456.49

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Solution

The fourth proportional to 421,802.81, 582,099.31 and 258,456.49 is: 356,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,802.81 : 582,099.31 = 258,456.49 : x
  2. Step 2: Convert to fraction form
    421,802.81/582,099.31 = 258,456.49/x
  3. Step 3: Cross multiply
    421,802.81x = 582,099.31 × 258,456.49
  4. Step 4: Simplify right side
    421,802.81x = 150,447,343,361.84
  5. Step 5: Solve for x
    x = 150,447,343,361.84/421,802.81
  6. Step 6: Final answer
    x = 356,676.96

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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.