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Finding the Fourth Proportional to 284,472,942.40, 426,709,413.60 and 273,325,268.80

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Solution

The fourth proportional to 284,472,942.40, 426,709,413.60 and 273,325,268.80 is: 409,987,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,472,942.40 : 426,709,413.60 = 273,325,268.80 : x
  2. Step 2: Convert to fraction form
    284,472,942.40/426,709,413.60 = 273,325,268.80/x
  3. Step 3: Cross multiply
    284,472,942.40x = 426,709,413.60 × 273,325,268.80
  4. Step 4: Simplify right side
    284,472,942.40x = 116,630,465,171,710,384
  5. Step 5: Solve for x
    x = 116,630,465,171,710,384/284,472,942.40
  6. Step 6: Final answer
    x = 409,987,903.20

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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.