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Finding the Fourth Proportional to 354,467.14, 489,041.13 and 227,212.90

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Solution

The fourth proportional to 354,467.14, 489,041.13 and 227,212.90 is: 313,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,467.14 : 489,041.13 = 227,212.90 : x
  2. Step 2: Convert to fraction form
    354,467.14/489,041.13 = 227,212.90/x
  3. Step 3: Cross multiply
    354,467.14x = 489,041.13 × 227,212.90
  4. Step 4: Simplify right side
    354,467.14x = 111,116,453,366.58
  5. Step 5: Solve for x
    x = 111,116,453,366.58/354,467.14
  6. Step 6: Final answer
    x = 313,474.62

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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.