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Finding the Fourth Proportional to 312,509.20, 468,760.37 and 75,851.88

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Solution

The fourth proportional to 312,509.20, 468,760.37 and 75,851.88 is: 113,776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,509.20 : 468,760.37 = 75,851.88 : x
  2. Step 2: Convert to fraction form
    312,509.20/468,760.37 = 75,851.88/x
  3. Step 3: Cross multiply
    312,509.20x = 468,760.37 × 75,851.88
  4. Step 4: Simplify right side
    312,509.20x = 35,556,355,334.00
  5. Step 5: Solve for x
    x = 35,556,355,334.00/312,509.20
  6. Step 6: Final answer
    x = 113,776.99

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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.