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Finding the Fourth Proportional to 439,620.30, 659,430.45 and 398,942.10

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Solution

The fourth proportional to 439,620.30, 659,430.45 and 398,942.10 is: 598,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,620.30 : 659,430.45 = 398,942.10 : x
  2. Step 2: Convert to fraction form
    439,620.30/659,430.45 = 398,942.10/x
  3. Step 3: Cross multiply
    439,620.30x = 659,430.45 × 398,942.10
  4. Step 4: Simplify right side
    439,620.30x = 263,074,568,526.95
  5. Step 5: Solve for x
    x = 263,074,568,526.95/439,620.30
  6. Step 6: Final answer
    x = 598,413.15

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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.