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Finding the Fourth Proportional to 287,455.26, 431,024.16 and 133,413.30

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Solution

The fourth proportional to 287,455.26, 431,024.16 and 133,413.30 is: 200,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,455.26 : 431,024.16 = 133,413.30 : x
  2. Step 2: Convert to fraction form
    287,455.26/431,024.16 = 133,413.30/x
  3. Step 3: Cross multiply
    287,455.26x = 431,024.16 × 133,413.30
  4. Step 4: Simplify right side
    287,455.26x = 57,504,355,565.33
  5. Step 5: Solve for x
    x = 57,504,355,565.33/287,455.26
  6. Step 6: Final answer
    x = 200,046.28

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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.