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Finding the Fourth Proportional to 260,413.26, 390,490.67 and 82,897.20

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Solution

The fourth proportional to 260,413.26, 390,490.67 and 82,897.20 is: 124,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,413.26 : 390,490.67 = 82,897.20 : x
  2. Step 2: Convert to fraction form
    260,413.26/390,490.67 = 82,897.20/x
  3. Step 3: Cross multiply
    260,413.26x = 390,490.67 × 82,897.20
  4. Step 4: Simplify right side
    260,413.26x = 32,370,582,754.64
  5. Step 5: Solve for x
    x = 32,370,582,754.64/260,413.26
  6. Step 6: Final answer
    x = 124,304.66

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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.