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Finding the Fourth Proportional to 383,398.26, 574,707.78 and 158,880.84

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Solution

The fourth proportional to 383,398.26, 574,707.78 and 158,880.84 is: 238,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,398.26 : 574,707.78 = 158,880.84 : x
  2. Step 2: Convert to fraction form
    383,398.26/574,707.78 = 158,880.84/x
  3. Step 3: Cross multiply
    383,398.26x = 574,707.78 × 158,880.84
  4. Step 4: Simplify right side
    383,398.26x = 91,310,054,840.94
  5. Step 5: Solve for x
    x = 91,310,054,840.94/383,398.26
  6. Step 6: Final answer
    x = 238,159.81

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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.