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Finding the Fourth Proportional to 200,434.47, 300,665.74 and 80,491.41

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Solution

The fourth proportional to 200,434.47, 300,665.74 and 80,491.41 is: 120,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,434.47 : 300,665.74 = 80,491.41 : x
  2. Step 2: Convert to fraction form
    200,434.47/300,665.74 = 80,491.41/x
  3. Step 3: Cross multiply
    200,434.47x = 300,665.74 × 80,491.41
  4. Step 4: Simplify right side
    200,434.47x = 24,201,009,351.29
  5. Step 5: Solve for x
    x = 24,201,009,351.29/200,434.47
  6. Step 6: Final answer
    x = 120,742.75

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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.