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Finding the Fourth Proportional to 307,943.80, 461,915.70 and 189,748.60

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Solution

The fourth proportional to 307,943.80, 461,915.70 and 189,748.60 is: 284,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,943.80 : 461,915.70 = 189,748.60 : x
  2. Step 2: Convert to fraction form
    307,943.80/461,915.70 = 189,748.60/x
  3. Step 3: Cross multiply
    307,943.80x = 461,915.70 × 189,748.60
  4. Step 4: Simplify right side
    307,943.80x = 87,647,857,393.02
  5. Step 5: Solve for x
    x = 87,647,857,393.02/307,943.80
  6. Step 6: Final answer
    x = 284,622.90

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1.5x scale

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.