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Finding the Fourth Proportional to 299,894.12, 449,914.98 and 211,320.62

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Solution

The fourth proportional to 299,894.12, 449,914.98 and 211,320.62 is: 317,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,894.12 : 449,914.98 = 211,320.62 : x
  2. Step 2: Convert to fraction form
    299,894.12/449,914.98 = 211,320.62/x
  3. Step 3: Cross multiply
    299,894.12x = 449,914.98 × 211,320.62
  4. Step 4: Simplify right side
    299,894.12x = 95,076,312,520.89
  5. Step 5: Solve for x
    x = 95,076,312,520.89/299,894.12
  6. Step 6: Final answer
    x = 317,032.93

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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.