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Finding the Fourth Proportional to 489,816.97, 735,005.78 and 190,258.79

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Solution

The fourth proportional to 489,816.97, 735,005.78 and 190,258.79 is: 285,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,816.97 : 735,005.78 = 190,258.79 : x
  2. Step 2: Convert to fraction form
    489,816.97/735,005.78 = 190,258.79/x
  3. Step 3: Cross multiply
    489,816.97x = 735,005.78 × 190,258.79
  4. Step 4: Simplify right side
    489,816.97x = 139,841,309,394.51
  5. Step 5: Solve for x
    x = 139,841,309,394.51/489,816.97
  6. Step 6: Final answer
    x = 285,497.07

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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.