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Finding the Fourth Proportional to 383,540.32, 575,061.36 and 158,839.84

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Solution

The fourth proportional to 383,540.32, 575,061.36 and 158,839.84 is: 238,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,540.32 : 575,061.36 = 158,839.84 : x
  2. Step 2: Convert to fraction form
    383,540.32/575,061.36 = 158,839.84/x
  3. Step 3: Cross multiply
    383,540.32x = 575,061.36 × 158,839.84
  4. Step 4: Simplify right side
    383,540.32x = 91,342,654,412.58
  5. Step 5: Solve for x
    x = 91,342,654,412.58/383,540.32
  6. Step 6: Final answer
    x = 238,156.59

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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.