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Finding the Fourth Proportional to 313,842.28, 470,615.44 and 114,021.76

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Solution

The fourth proportional to 313,842.28, 470,615.44 and 114,021.76 is: 170,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,842.28 : 470,615.44 = 114,021.76 : x
  2. Step 2: Convert to fraction form
    313,842.28/470,615.44 = 114,021.76/x
  3. Step 3: Cross multiply
    313,842.28x = 470,615.44 × 114,021.76
  4. Step 4: Simplify right side
    313,842.28x = 53,660,400,751.97
  5. Step 5: Solve for x
    x = 53,660,400,751.97/313,842.28
  6. Step 6: Final answer
    x = 170,978.88

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1.5x scale

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.