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Finding the Fourth Proportional to 298,413.20, 447,619.80 and 101,421.20

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Solution

The fourth proportional to 298,413.20, 447,619.80 and 101,421.20 is: 152,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413.20 : 447,619.80 = 101,421.20 : x
  2. Step 2: Convert to fraction form
    298,413.20/447,619.80 = 101,421.20/x
  3. Step 3: Cross multiply
    298,413.20x = 447,619.80 × 101,421.20
  4. Step 4: Simplify right side
    298,413.20x = 45,398,137,259.76
  5. Step 5: Solve for x
    x = 45,398,137,259.76/298,413.20
  6. Step 6: Final answer
    x = 152,131.80

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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.