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Finding the Fourth Proportional to 416,485.10, 624,727.64 and 100,942

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Solution

The fourth proportional to 416,485.10, 624,727.64 and 100,942 is: 151,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,485.10 : 624,727.64 = 100,942 : x
  2. Step 2: Convert to fraction form
    416,485.10/624,727.64 = 100,942/x
  3. Step 3: Cross multiply
    416,485.10x = 624,727.64 × 100,942
  4. Step 4: Simplify right side
    416,485.10x = 63,061,257,436.88
  5. Step 5: Solve for x
    x = 63,061,257,436.88/416,485.10
  6. Step 6: Final answer
    x = 151,413.00

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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.