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Finding the Fourth Proportional to 400,867.64, 600,866.69 and 200,705.30

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Solution

The fourth proportional to 400,867.64, 600,866.69 and 200,705.30 is: 300,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,867.64 : 600,866.69 = 200,705.30 : x
  2. Step 2: Convert to fraction form
    400,867.64/600,866.69 = 200,705.30/x
  3. Step 3: Cross multiply
    400,867.64x = 600,866.69 × 200,705.30
  4. Step 4: Simplify right side
    400,867.64x = 120,597,125,268.60
  5. Step 5: Solve for x
    x = 120,597,125,268.60/400,867.64
  6. Step 6: Final answer
    x = 300,840.26

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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.