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Finding the Fourth Proportional to 354,405.54, 489,091.91 and 201,450.14

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Solution

The fourth proportional to 354,405.54, 489,091.91 and 201,450.14 is: 278,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,405.54 : 489,091.91 = 201,450.14 : x
  2. Step 2: Convert to fraction form
    354,405.54/489,091.91 = 201,450.14/x
  3. Step 3: Cross multiply
    354,405.54x = 489,091.91 × 201,450.14
  4. Step 4: Simplify right side
    354,405.54x = 98,527,630,289.66
  5. Step 5: Solve for x
    x = 98,527,630,289.66/354,405.54
  6. Step 6: Final answer
    x = 278,008.15

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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.