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Finding the Fourth Proportional to 547,814, 756,018.48 and 306,097.28

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Solution

The fourth proportional to 547,814, 756,018.48 and 306,097.28 is: 422,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,814 : 756,018.48 = 306,097.28 : x
  2. Step 2: Convert to fraction form
    547,814/756,018.48 = 306,097.28/x
  3. Step 3: Cross multiply
    547,814x = 756,018.48 × 306,097.28
  4. Step 4: Simplify right side
    547,814x = 231,415,200,357.73
  5. Step 5: Solve for x
    x = 231,415,200,357.73/547,814
  6. Step 6: Final answer
    x = 422,433.89

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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.