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Finding the Fourth Proportional to 408,350.16, 612,904.32 and 208,813.14

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Solution

The fourth proportional to 408,350.16, 612,904.32 and 208,813.14 is: 313,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,350.16 : 612,904.32 = 208,813.14 : x
  2. Step 2: Convert to fraction form
    408,350.16/612,904.32 = 208,813.14/x
  3. Step 3: Cross multiply
    408,350.16x = 612,904.32 × 208,813.14
  4. Step 4: Simplify right side
    408,350.16x = 127,982,475,578.77
  5. Step 5: Solve for x
    x = 127,982,475,578.77/408,350.16
  6. Step 6: Final answer
    x = 313,413.56

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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.