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Finding the Fourth Proportional to 513,413.64, 770,117.76 and 139,436.64

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Solution

The fourth proportional to 513,413.64, 770,117.76 and 139,436.64 is: 209,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,413.64 : 770,117.76 = 139,436.64 : x
  2. Step 2: Convert to fraction form
    513,413.64/770,117.76 = 139,436.64/x
  3. Step 3: Cross multiply
    513,413.64x = 770,117.76 × 139,436.64
  4. Step 4: Simplify right side
    513,413.64x = 107,382,632,858.73
  5. Step 5: Solve for x
    x = 107,382,632,858.73/513,413.64
  6. Step 6: Final answer
    x = 209,154.23

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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.