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Finding the Fourth Proportional to 298,416,583.20, 447,624,874.80 and 177,185,632.80

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Solution

The fourth proportional to 298,416,583.20, 447,624,874.80 and 177,185,632.80 is: 265,778,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,416,583.20 : 447,624,874.80 = 177,185,632.80 : x
  2. Step 2: Convert to fraction form
    298,416,583.20/447,624,874.80 = 177,185,632.80/x
  3. Step 3: Cross multiply
    298,416,583.20x = 447,624,874.80 × 177,185,632.80
  4. Step 4: Simplify right side
    298,416,583.20x = 79,312,696,698,458,784
  5. Step 5: Solve for x
    x = 79,312,696,698,458,784/298,416,583.20
  6. Step 6: Final answer
    x = 265,778,449.20

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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.