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Finding the Fourth Proportional to 509,906.40, 764,859.60 and 478,413.60

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Solution

The fourth proportional to 509,906.40, 764,859.60 and 478,413.60 is: 717,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,906.40 : 764,859.60 = 478,413.60 : x
  2. Step 2: Convert to fraction form
    509,906.40/764,859.60 = 478,413.60/x
  3. Step 3: Cross multiply
    509,906.40x = 764,859.60 × 478,413.60
  4. Step 4: Simplify right side
    509,906.40x = 365,919,234,730.56
  5. Step 5: Solve for x
    x = 365,919,234,730.56/509,906.40
  6. Step 6: Final answer
    x = 717,620.40

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Double scale
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Similar ratio
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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.