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Finding the Fourth Proportional to 231,413.60, 346,198.80 and 209,295.20

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Solution

The fourth proportional to 231,413.60, 346,198.80 and 209,295.20 is: 313,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,413.60 : 346,198.80 = 209,295.20 : x
  2. Step 2: Convert to fraction form
    231,413.60/346,198.80 = 209,295.20/x
  3. Step 3: Cross multiply
    231,413.60x = 346,198.80 × 209,295.20
  4. Step 4: Simplify right side
    231,413.60x = 72,457,747,085.76
  5. Step 5: Solve for x
    x = 72,457,747,085.76/231,413.60
  6. Step 6: Final answer
    x = 313,109.29

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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.