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Finding the Fourth Proportional to 400,405.83, 600,325.25 and 200,583.69

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Solution

The fourth proportional to 400,405.83, 600,325.25 and 200,583.69 is: 300,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,405.83 : 600,325.25 = 200,583.69 : x
  2. Step 2: Convert to fraction form
    400,405.83/600,325.25 = 200,583.69/x
  3. Step 3: Cross multiply
    400,405.83x = 600,325.25 × 200,583.69
  4. Step 4: Simplify right side
    400,405.83x = 120,415,452,842.25
  5. Step 5: Solve for x
    x = 120,415,452,842.25/400,405.83
  6. Step 6: Final answer
    x = 300,733.52

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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.