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Finding the Fourth Proportional to 547,265.40, 820,898.10 and 509,940.60

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Solution

The fourth proportional to 547,265.40, 820,898.10 and 509,940.60 is: 764,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,265.40 : 820,898.10 = 509,940.60 : x
  2. Step 2: Convert to fraction form
    547,265.40/820,898.10 = 509,940.60/x
  3. Step 3: Cross multiply
    547,265.40x = 820,898.10 × 509,940.60
  4. Step 4: Simplify right side
    547,265.40x = 418,609,269,652.86
  5. Step 5: Solve for x
    x = 418,609,269,652.86/547,265.40
  6. Step 6: Final answer
    x = 764,910.90

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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.