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Finding the Fourth Proportional to 489,665.24, 734,413.20 and 129,838.40

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Solution

The fourth proportional to 489,665.24, 734,413.20 and 129,838.40 is: 194,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,665.24 : 734,413.20 = 129,838.40 : x
  2. Step 2: Convert to fraction form
    489,665.24/734,413.20 = 129,838.40/x
  3. Step 3: Cross multiply
    489,665.24x = 734,413.20 × 129,838.40
  4. Step 4: Simplify right side
    489,665.24x = 95,355,034,826.88
  5. Step 5: Solve for x
    x = 95,355,034,826.88/489,665.24
  6. Step 6: Final answer
    x = 194,735.15

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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.