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Finding the Fourth Proportional to 638,720, 958,076.16 and 165,404.16

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Solution

The fourth proportional to 638,720, 958,076.16 and 165,404.16 is: 248,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,720 : 958,076.16 = 165,404.16 : x
  2. Step 2: Convert to fraction form
    638,720/958,076.16 = 165,404.16/x
  3. Step 3: Cross multiply
    638,720x = 958,076.16 × 165,404.16
  4. Step 4: Simplify right side
    638,720x = 158,469,782,460.83
  5. Step 5: Solve for x
    x = 158,469,782,460.83/638,720
  6. Step 6: Final answer
    x = 248,105.25

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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.