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Finding the Fourth Proportional to 312,105.56, 430,568.97 and 182,978.70

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Solution

The fourth proportional to 312,105.56, 430,568.97 and 182,978.70 is: 252,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,105.56 : 430,568.97 = 182,978.70 : x
  2. Step 2: Convert to fraction form
    312,105.56/430,568.97 = 182,978.70/x
  3. Step 3: Cross multiply
    312,105.56x = 430,568.97 × 182,978.70
  4. Step 4: Simplify right side
    312,105.56x = 78,784,948,090.14
  5. Step 5: Solve for x
    x = 78,784,948,090.14/312,105.56
  6. Step 6: Final answer
    x = 252,430.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.