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Finding the Fourth Proportional to 267,206.40, 400,809.60 and 142,790.40

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Solution

The fourth proportional to 267,206.40, 400,809.60 and 142,790.40 is: 214,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,206.40 : 400,809.60 = 142,790.40 : x
  2. Step 2: Convert to fraction form
    267,206.40/400,809.60 = 142,790.40/x
  3. Step 3: Cross multiply
    267,206.40x = 400,809.60 × 142,790.40
  4. Step 4: Simplify right side
    267,206.40x = 57,231,763,107.84
  5. Step 5: Solve for x
    x = 57,231,763,107.84/267,206.40
  6. Step 6: Final answer
    x = 214,185.60

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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.