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Finding the Fourth Proportional to 383,929.97, 575,427.93 and 271,642.56

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Solution

The fourth proportional to 383,929.97, 575,427.93 and 271,642.56 is: 407,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,929.97 : 575,427.93 = 271,642.56 : x
  2. Step 2: Convert to fraction form
    383,929.97/575,427.93 = 271,642.56/x
  3. Step 3: Cross multiply
    383,929.97x = 575,427.93 × 271,642.56
  4. Step 4: Simplify right side
    383,929.97x = 156,310,716,000.70
  5. Step 5: Solve for x
    x = 156,310,716,000.70/383,929.97
  6. Step 6: Final answer
    x = 407,133.41

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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.