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Finding the Fourth Proportional to 489,084.10, 685,961.90 and 489,084.10

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Solution

The fourth proportional to 489,084.10, 685,961.90 and 489,084.10 is: 685,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,084.10 : 685,961.90 = 489,084.10 : x
  2. Step 2: Convert to fraction form
    489,084.10/685,961.90 = 489,084.10/x
  3. Step 3: Cross multiply
    489,084.10x = 685,961.90 × 489,084.10
  4. Step 4: Simplify right side
    489,084.10x = 335,493,058,495.79
  5. Step 5: Solve for x
    x = 335,493,058,495.79/489,084.10
  6. Step 6: Final answer
    x = 685,961.90

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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.