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Finding the Fourth Proportional to 200,427.96, 276,457.68 and 128,898.48

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Solution

The fourth proportional to 200,427.96, 276,457.68 and 128,898.48 is: 177,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,427.96 : 276,457.68 = 128,898.48 : x
  2. Step 2: Convert to fraction form
    200,427.96/276,457.68 = 128,898.48/x
  3. Step 3: Cross multiply
    200,427.96x = 276,457.68 × 128,898.48
  4. Step 4: Simplify right side
    200,427.96x = 35,634,974,736.33
  5. Step 5: Solve for x
    x = 35,634,974,736.33/200,427.96
  6. Step 6: Final answer
    x = 177,794.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.