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Finding the Fourth Proportional to 380,102.20, 570,080.40 and 113,871.40

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Solution

The fourth proportional to 380,102.20, 570,080.40 and 113,871.40 is: 170,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,102.20 : 570,080.40 = 113,871.40 : x
  2. Step 2: Convert to fraction form
    380,102.20/570,080.40 = 113,871.40/x
  3. Step 3: Cross multiply
    380,102.20x = 570,080.40 × 113,871.40
  4. Step 4: Simplify right side
    380,102.20x = 64,915,853,260.56
  5. Step 5: Solve for x
    x = 64,915,853,260.56/380,102.20
  6. Step 6: Final answer
    x = 170,785.26

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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.