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Finding the Fourth Proportional to 298,939.41, 447,910.88 and 210,033.76

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Solution

The fourth proportional to 298,939.41, 447,910.88 and 210,033.76 is: 314,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,939.41 : 447,910.88 = 210,033.76 : x
  2. Step 2: Convert to fraction form
    298,939.41/447,910.88 = 210,033.76/x
  3. Step 3: Cross multiply
    298,939.41x = 447,910.88 × 210,033.76
  4. Step 4: Simplify right side
    298,939.41x = 94,076,405,480.74
  5. Step 5: Solve for x
    x = 94,076,405,480.74/298,939.41
  6. Step 6: Final answer
    x = 314,700.58

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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.