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Finding the Fourth Proportional to 408,133.44, 612,289.20 and 171,341.28

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Solution

The fourth proportional to 408,133.44, 612,289.20 and 171,341.28 is: 257,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,133.44 : 612,289.20 = 171,341.28 : x
  2. Step 2: Convert to fraction form
    408,133.44/612,289.20 = 171,341.28/x
  3. Step 3: Cross multiply
    408,133.44x = 612,289.20 × 171,341.28
  4. Step 4: Simplify right side
    408,133.44x = 104,910,415,258.18
  5. Step 5: Solve for x
    x = 104,910,415,258.18/408,133.44
  6. Step 6: Final answer
    x = 257,049.30

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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.