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Finding the Fourth Proportional to 200,400.36, 300,605.40 and 67,284.96

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Solution

The fourth proportional to 200,400.36, 300,605.40 and 67,284.96 is: 100,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,400.36 : 300,605.40 = 67,284.96 : x
  2. Step 2: Convert to fraction form
    200,400.36/300,605.40 = 67,284.96/x
  3. Step 3: Cross multiply
    200,400.36x = 300,605.40 × 67,284.96
  4. Step 4: Simplify right side
    200,400.36x = 20,226,222,314.78
  5. Step 5: Solve for x
    x = 20,226,222,314.78/200,400.36
  6. Step 6: Final answer
    x = 100,929.07

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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.