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Finding the Fourth Proportional to 299,390.10, 449,085.15 and 214,971.90

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Solution

The fourth proportional to 299,390.10, 449,085.15 and 214,971.90 is: 322,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,390.10 : 449,085.15 = 214,971.90 : x
  2. Step 2: Convert to fraction form
    299,390.10/449,085.15 = 214,971.90/x
  3. Step 3: Cross multiply
    299,390.10x = 449,085.15 × 214,971.90
  4. Step 4: Simplify right side
    299,390.10x = 96,540,687,957.29
  5. Step 5: Solve for x
    x = 96,540,687,957.29/299,390.10
  6. Step 6: Final answer
    x = 322,457.85

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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.