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Finding the Fourth Proportional to 274,614.40, 411,921.60 and 97,321.60

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Solution

The fourth proportional to 274,614.40, 411,921.60 and 97,321.60 is: 145,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,614.40 : 411,921.60 = 97,321.60 : x
  2. Step 2: Convert to fraction form
    274,614.40/411,921.60 = 97,321.60/x
  3. Step 3: Cross multiply
    274,614.40x = 411,921.60 × 97,321.60
  4. Step 4: Simplify right side
    274,614.40x = 40,088,869,186.56
  5. Step 5: Solve for x
    x = 40,088,869,186.56/274,614.40
  6. Step 6: Final answer
    x = 145,982.40

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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.