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Finding the Fourth Proportional to 816,708, 1,225,413.12 and 283,938.60

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Solution

The fourth proportional to 816,708, 1,225,413.12 and 283,938.60 is: 426,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,708 : 1,225,413.12 = 283,938.60 : x
  2. Step 2: Convert to fraction form
    816,708/1,225,413.12 = 283,938.60/x
  3. Step 3: Cross multiply
    816,708x = 1,225,413.12 × 283,938.60
  4. Step 4: Simplify right side
    816,708x = 347,942,085,714.43
  5. Step 5: Solve for x
    x = 347,942,085,714.43/816,708
  6. Step 6: Final answer
    x = 426,029.97

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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.