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Finding the Fourth Proportional to 465,035.40, 641,885.18 and 303,915.47

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Solution

The fourth proportional to 465,035.40, 641,885.18 and 303,915.47 is: 419,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,035.40 : 641,885.18 = 303,915.47 : x
  2. Step 2: Convert to fraction form
    465,035.40/641,885.18 = 303,915.47/x
  3. Step 3: Cross multiply
    465,035.40x = 641,885.18 × 303,915.47
  4. Step 4: Simplify right side
    465,035.40x = 195,078,831,436.73
  5. Step 5: Solve for x
    x = 195,078,831,436.73/465,035.40
  6. Step 6: Final answer
    x = 419,492.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.