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Finding the Fourth Proportional to 309,128.25, 463,720.74 and 95,897.81

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Solution

The fourth proportional to 309,128.25, 463,720.74 and 95,897.81 is: 143,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,128.25 : 463,720.74 = 95,897.81 : x
  2. Step 2: Convert to fraction form
    309,128.25/463,720.74 = 95,897.81/x
  3. Step 3: Cross multiply
    309,128.25x = 463,720.74 × 95,897.81
  4. Step 4: Simplify right side
    309,128.25x = 44,469,801,098.98
  5. Step 5: Solve for x
    x = 44,469,801,098.98/309,128.25
  6. Step 6: Final answer
    x = 143,855.51

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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.