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Finding the Fourth Proportional to 306,413.36, 422,712.24 and 179,031.68

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Solution

The fourth proportional to 306,413.36, 422,712.24 and 179,031.68 is: 246,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,413.36 : 422,712.24 = 179,031.68 : x
  2. Step 2: Convert to fraction form
    306,413.36/422,712.24 = 179,031.68/x
  3. Step 3: Cross multiply
    306,413.36x = 422,712.24 × 179,031.68
  4. Step 4: Simplify right side
    306,413.36x = 75,678,882,483.76
  5. Step 5: Solve for x
    x = 75,678,882,483.76/306,413.36
  6. Step 6: Final answer
    x = 246,982.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.