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Finding the Fourth Proportional to 698,599.50, 964,067.32 and 380,647.50

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Solution

The fourth proportional to 698,599.50, 964,067.32 and 380,647.50 is: 525,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,599.50 : 964,067.32 = 380,647.50 : x
  2. Step 2: Convert to fraction form
    698,599.50/964,067.32 = 380,647.50/x
  3. Step 3: Cross multiply
    698,599.50x = 964,067.32 × 380,647.50
  4. Step 4: Simplify right side
    698,599.50x = 366,969,815,189.70
  5. Step 5: Solve for x
    x = 366,969,815,189.70/698,599.50
  6. Step 6: Final answer
    x = 525,293.56

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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.