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Finding the Fourth Proportional to 329,405.08, 494,413.80 and 129,863.20

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Solution

The fourth proportional to 329,405.08, 494,413.80 and 129,863.20 is: 194,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,405.08 : 494,413.80 = 129,863.20 : x
  2. Step 2: Convert to fraction form
    329,405.08/494,413.80 = 129,863.20/x
  3. Step 3: Cross multiply
    329,405.08x = 494,413.80 × 129,863.20
  4. Step 4: Simplify right side
    329,405.08x = 64,206,158,192.16
  5. Step 5: Solve for x
    x = 64,206,158,192.16/329,405.08
  6. Step 6: Final answer
    x = 194,915.51

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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.