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Finding the Fourth Proportional to 354,388, 489,055.44 and 195,412

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Solution

The fourth proportional to 354,388, 489,055.44 and 195,412 is: 269,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,388 : 489,055.44 = 195,412 : x
  2. Step 2: Convert to fraction form
    354,388/489,055.44 = 195,412/x
  3. Step 3: Cross multiply
    354,388x = 489,055.44 × 195,412
  4. Step 4: Simplify right side
    354,388x = 95,567,301,641.28
  5. Step 5: Solve for x
    x = 95,567,301,641.28/354,388
  6. Step 6: Final answer
    x = 269,668.56

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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.