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Finding the Fourth Proportional to 298,413.21, 447,615.72 and 129,929.92

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Solution

The fourth proportional to 298,413.21, 447,615.72 and 129,929.92 is: 194,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413.21 : 447,615.72 = 129,929.92 : x
  2. Step 2: Convert to fraction form
    298,413.21/447,615.72 = 129,929.92/x
  3. Step 3: Cross multiply
    298,413.21x = 447,615.72 × 129,929.92
  4. Step 4: Simplify right side
    298,413.21x = 58,158,676,089.14
  5. Step 5: Solve for x
    x = 58,158,676,089.14/298,413.21
  6. Step 6: Final answer
    x = 194,893.10

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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.