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Finding the Fourth Proportional to 284,213.21, 425,949.59 and 115,536.51

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Solution

The fourth proportional to 284,213.21, 425,949.59 and 115,536.51 is: 173,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,213.21 : 425,949.59 = 115,536.51 : x
  2. Step 2: Convert to fraction form
    284,213.21/425,949.59 = 115,536.51/x
  3. Step 3: Cross multiply
    284,213.21x = 425,949.59 × 115,536.51
  4. Step 4: Simplify right side
    284,213.21x = 49,212,729,064.53
  5. Step 5: Solve for x
    x = 49,212,729,064.53/284,213.21
  6. Step 6: Final answer
    x = 173,154.26

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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.