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Finding the Fourth Proportional to 200,315.60, 300,619.20 and 133,733.60

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Solution

The fourth proportional to 200,315.60, 300,619.20 and 133,733.60 is: 200,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,315.60 : 300,619.20 = 133,733.60 : x
  2. Step 2: Convert to fraction form
    200,315.60/300,619.20 = 133,733.60/x
  3. Step 3: Cross multiply
    200,315.60x = 300,619.20 × 133,733.60
  4. Step 4: Simplify right side
    200,315.60x = 40,202,887,845.12
  5. Step 5: Solve for x
    x = 40,202,887,845.12/200,315.60
  6. Step 6: Final answer
    x = 200,697.74

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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.