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Finding the Fourth Proportional to 707,766, 1,062,105.74 and 258,449.26

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Solution

The fourth proportional to 707,766, 1,062,105.74 and 258,449.26 is: 387,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,766 : 1,062,105.74 = 258,449.26 : x
  2. Step 2: Convert to fraction form
    707,766/1,062,105.74 = 258,449.26/x
  3. Step 3: Cross multiply
    707,766x = 1,062,105.74 × 258,449.26
  4. Step 4: Simplify right side
    707,766x = 274,500,442,544.75
  5. Step 5: Solve for x
    x = 274,500,442,544.75/707,766
  6. Step 6: Final answer
    x = 387,840.67

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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.