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Finding the Fourth Proportional to 698,589, 964,052.82 and 380,637

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Solution

The fourth proportional to 698,589, 964,052.82 and 380,637 is: 525,279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,589 : 964,052.82 = 380,637 : x
  2. Step 2: Convert to fraction form
    698,589/964,052.82 = 380,637/x
  3. Step 3: Cross multiply
    698,589x = 964,052.82 × 380,637
  4. Step 4: Simplify right side
    698,589x = 366,954,173,246.34
  5. Step 5: Solve for x
    x = 366,954,173,246.34/698,589
  6. Step 6: Final answer
    x = 525,279.06

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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.