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Finding the Fourth Proportional to 383,761.44, 575,836.56 and 258,840

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Solution

The fourth proportional to 383,761.44, 575,836.56 and 258,840 is: 388,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,761.44 : 575,836.56 = 258,840 : x
  2. Step 2: Convert to fraction form
    383,761.44/575,836.56 = 258,840/x
  3. Step 3: Cross multiply
    383,761.44x = 575,836.56 × 258,840
  4. Step 4: Simplify right side
    383,761.44x = 149,049,535,190.40
  5. Step 5: Solve for x
    x = 149,049,535,190.40/383,761.44
  6. Step 6: Final answer
    x = 388,391.12

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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.