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Finding the Fourth Proportional to 380,105.40, 570,023.70 and 130,729.40

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Solution

The fourth proportional to 380,105.40, 570,023.70 and 130,729.40 is: 196,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,105.40 : 570,023.70 = 130,729.40 : x
  2. Step 2: Convert to fraction form
    380,105.40/570,023.70 = 130,729.40/x
  3. Step 3: Cross multiply
    380,105.40x = 570,023.70 × 130,729.40
  4. Step 4: Simplify right side
    380,105.40x = 74,518,856,286.78
  5. Step 5: Solve for x
    x = 74,518,856,286.78/380,105.40
  6. Step 6: Final answer
    x = 196,047.88

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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.