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Finding the Fourth Proportional to 252,200.40, 378,300.60 and 127,784.40

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Solution

The fourth proportional to 252,200.40, 378,300.60 and 127,784.40 is: 191,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,200.40 : 378,300.60 = 127,784.40 : x
  2. Step 2: Convert to fraction form
    252,200.40/378,300.60 = 127,784.40/x
  3. Step 3: Cross multiply
    252,200.40x = 378,300.60 × 127,784.40
  4. Step 4: Simplify right side
    252,200.40x = 48,340,915,190.64
  5. Step 5: Solve for x
    x = 48,340,915,190.64/252,200.40
  6. Step 6: Final answer
    x = 191,676.60

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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.