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Finding the Fourth Proportional to 298,930, 448,297.46 and 99,196.74

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Solution

The fourth proportional to 298,930, 448,297.46 and 99,196.74 is: 148,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,930 : 448,297.46 = 99,196.74 : x
  2. Step 2: Convert to fraction form
    298,930/448,297.46 = 99,196.74/x
  3. Step 3: Cross multiply
    298,930x = 448,297.46 × 99,196.74
  4. Step 4: Simplify right side
    298,930x = 44,469,646,582.28
  5. Step 5: Solve for x
    x = 44,469,646,582.28/298,930
  6. Step 6: Final answer
    x = 148,762.74

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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.