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Finding the Fourth Proportional to 411,940.64, 617,921.76 and 131,457.62

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Solution

The fourth proportional to 411,940.64, 617,921.76 and 131,457.62 is: 197,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,940.64 : 617,921.76 = 131,457.62 : x
  2. Step 2: Convert to fraction form
    411,940.64/617,921.76 = 131,457.62/x
  3. Step 3: Cross multiply
    411,940.64x = 617,921.76 × 131,457.62
  4. Step 4: Simplify right side
    411,940.64x = 81,230,523,915.81
  5. Step 5: Solve for x
    x = 81,230,523,915.81/411,940.64
  6. Step 6: Final answer
    x = 197,189.88

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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.