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Finding the Fourth Proportional to 652,625.91, 978,822.09 and 415,263.51

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Solution

The fourth proportional to 652,625.91, 978,822.09 and 415,263.51 is: 622,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,625.91 : 978,822.09 = 415,263.51 : x
  2. Step 2: Convert to fraction form
    652,625.91/978,822.09 = 415,263.51/x
  3. Step 3: Cross multiply
    652,625.91x = 978,822.09 × 415,263.51
  4. Step 4: Simplify right side
    652,625.91x = 406,469,096,758.94
  5. Step 5: Solve for x
    x = 406,469,096,758.94/652,625.91
  6. Step 6: Final answer
    x = 622,820.96

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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.