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Finding the Fourth Proportional to 551,469.82, 761,011.78 and 306,453.75

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Solution

The fourth proportional to 551,469.82, 761,011.78 and 306,453.75 is: 422,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,469.82 : 761,011.78 = 306,453.75 : x
  2. Step 2: Convert to fraction form
    551,469.82/761,011.78 = 306,453.75/x
  3. Step 3: Cross multiply
    551,469.82x = 761,011.78 × 306,453.75
  4. Step 4: Simplify right side
    551,469.82x = 233,214,916,073.51
  5. Step 5: Solve for x
    x = 233,214,916,073.51/551,469.82
  6. Step 6: Final answer
    x = 422,896.97

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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.