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Finding the Fourth Proportional to 299,389.60, 449,084.40 and 214,971.40

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Solution

The fourth proportional to 299,389.60, 449,084.40 and 214,971.40 is: 322,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,389.60 : 449,084.40 = 214,971.40 : x
  2. Step 2: Convert to fraction form
    299,389.60/449,084.40 = 214,971.40/x
  3. Step 3: Cross multiply
    299,389.60x = 449,084.40 × 214,971.40
  4. Step 4: Simplify right side
    299,389.60x = 96,540,302,186.16
  5. Step 5: Solve for x
    x = 96,540,302,186.16/299,389.60
  6. Step 6: Final answer
    x = 322,457.10

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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.