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Finding the Fourth Proportional to 288,807.44, 398,554.26 and 161,483

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Solution

The fourth proportional to 288,807.44, 398,554.26 and 161,483 is: 222,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,807.44 : 398,554.26 = 161,483 : x
  2. Step 2: Convert to fraction form
    288,807.44/398,554.26 = 161,483/x
  3. Step 3: Cross multiply
    288,807.44x = 398,554.26 × 161,483
  4. Step 4: Simplify right side
    288,807.44x = 64,359,737,567.58
  5. Step 5: Solve for x
    x = 64,359,737,567.58/288,807.44
  6. Step 6: Final answer
    x = 222,846.54

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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.