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Finding the Fourth Proportional to 309,300, 463,950 and 75,828

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Solution

The fourth proportional to 309,300, 463,950 and 75,828 is: 113,742

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,300 : 463,950 = 75,828 : x
  2. Step 2: Convert to fraction form
    309,300/463,950 = 75,828/x
  3. Step 3: Cross multiply
    309,300x = 463,950 × 75,828
  4. Step 4: Simplify right side
    309,300x = 35,180,400,600
  5. Step 5: Solve for x
    x = 35,180,400,600/309,300
  6. Step 6: Final answer
    x = 113,742

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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.