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Finding the Fourth Proportional to 489,095.60, 685,978 and 489,095.60

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Solution

The fourth proportional to 489,095.60, 685,978 and 489,095.60 is: 685,978

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,095.60 : 685,978 = 489,095.60 : x
  2. Step 2: Convert to fraction form
    489,095.60/685,978 = 489,095.60/x
  3. Step 3: Cross multiply
    489,095.60x = 685,978 × 489,095.60
  4. Step 4: Simplify right side
    489,095.60x = 335,508,821,496.80
  5. Step 5: Solve for x
    x = 335,508,821,496.80/489,095.60
  6. Step 6: Final answer
    x = 685,978

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.