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Finding the Fourth Proportional to 284,211.21, 425,946.60 and 115,534.51

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Solution

The fourth proportional to 284,211.21, 425,946.60 and 115,534.51 is: 173,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,211.21 : 425,946.60 = 115,534.51 : x
  2. Step 2: Convert to fraction form
    284,211.21/425,946.60 = 115,534.51/x
  3. Step 3: Cross multiply
    284,211.21x = 425,946.60 × 115,534.51
  4. Step 4: Simplify right side
    284,211.21x = 49,211,530,074.63
  5. Step 5: Solve for x
    x = 49,211,530,074.63/284,211.21
  6. Step 6: Final answer
    x = 173,151.26

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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.