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Finding the Fourth Proportional to 287,388.36, 396,570.54 and 166,491

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Solution

The fourth proportional to 287,388.36, 396,570.54 and 166,491 is: 229,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,388.36 : 396,570.54 = 166,491 : x
  2. Step 2: Convert to fraction form
    287,388.36/396,570.54 = 166,491/x
  3. Step 3: Cross multiply
    287,388.36x = 396,570.54 × 166,491
  4. Step 4: Simplify right side
    287,388.36x = 66,025,425,775.14
  5. Step 5: Solve for x
    x = 66,025,425,775.14/287,388.36
  6. Step 6: Final answer
    x = 229,742.87

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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.