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Finding the Fourth Proportional to 408,219.54, 612,607.89 and 141,977.34

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Solution

The fourth proportional to 408,219.54, 612,607.89 and 141,977.34 is: 213,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,219.54 : 612,607.89 = 141,977.34 : x
  2. Step 2: Convert to fraction form
    408,219.54/612,607.89 = 141,977.34/x
  3. Step 3: Cross multiply
    408,219.54x = 612,607.89 × 141,977.34
  4. Step 4: Simplify right side
    408,219.54x = 86,976,438,685.21
  5. Step 5: Solve for x
    x = 86,976,438,685.21/408,219.54
  6. Step 6: Final answer
    x = 213,062.90

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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.