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Finding the Fourth Proportional to 768,413.80, 1,151,151.90 and 413,309.80

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Solution

The fourth proportional to 768,413.80, 1,151,151.90 and 413,309.80 is: 619,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,413.80 : 1,151,151.90 = 413,309.80 : x
  2. Step 2: Convert to fraction form
    768,413.80/1,151,151.90 = 413,309.80/x
  3. Step 3: Cross multiply
    768,413.80x = 1,151,151.90 × 413,309.80
  4. Step 4: Simplify right side
    768,413.80x = 475,782,361,558.62
  5. Step 5: Solve for x
    x = 475,782,361,558.62/768,413.80
  6. Step 6: Final answer
    x = 619,174.67

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1.5x scale

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.