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Finding the Fourth Proportional to 547,996.40, 756,270.49 and 306,289.16

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Solution

The fourth proportional to 547,996.40, 756,270.49 and 306,289.16 is: 422,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,996.40 : 756,270.49 = 306,289.16 : x
  2. Step 2: Convert to fraction form
    547,996.40/756,270.49 = 306,289.16/x
  3. Step 3: Cross multiply
    547,996.40x = 756,270.49 × 306,289.16
  4. Step 4: Simplify right side
    547,996.40x = 231,637,449,333.54
  5. Step 5: Solve for x
    x = 231,637,449,333.54/547,996.40
  6. Step 6: Final answer
    x = 422,698.86

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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.