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Finding the Fourth Proportional to 380,738.60, 571,107.90 and 100,284.20

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Solution

The fourth proportional to 380,738.60, 571,107.90 and 100,284.20 is: 150,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,738.60 : 571,107.90 = 100,284.20 : x
  2. Step 2: Convert to fraction form
    380,738.60/571,107.90 = 100,284.20/x
  3. Step 3: Cross multiply
    380,738.60x = 571,107.90 × 100,284.20
  4. Step 4: Simplify right side
    380,738.60x = 57,273,098,865.18
  5. Step 5: Solve for x
    x = 57,273,098,865.18/380,738.60
  6. Step 6: Final answer
    x = 150,426.30

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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.