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Finding the Fourth Proportional to 383,453.72, 575,182 and 117,213.20

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Solution

The fourth proportional to 383,453.72, 575,182 and 117,213.20 is: 175,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,453.72 : 575,182 = 117,213.20 : x
  2. Step 2: Convert to fraction form
    383,453.72/575,182 = 117,213.20/x
  3. Step 3: Cross multiply
    383,453.72x = 575,182 × 117,213.20
  4. Step 4: Simplify right side
    383,453.72x = 67,418,922,802.40
  5. Step 5: Solve for x
    x = 67,418,922,802.40/383,453.72
  6. Step 6: Final answer
    x = 175,820.23

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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.