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Finding the Fourth Proportional to 455,186, 628,156.24 and 253,982

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Solution

The fourth proportional to 455,186, 628,156.24 and 253,982 is: 350,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,186 : 628,156.24 = 253,982 : x
  2. Step 2: Convert to fraction form
    455,186/628,156.24 = 253,982/x
  3. Step 3: Cross multiply
    455,186x = 628,156.24 × 253,982
  4. Step 4: Simplify right side
    455,186x = 159,540,378,147.68
  5. Step 5: Solve for x
    x = 159,540,378,147.68/455,186
  6. Step 6: Final answer
    x = 350,494.91

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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.