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Finding the Fourth Proportional to 379,604.88, 569,446.20 and 143,146.44

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Solution

The fourth proportional to 379,604.88, 569,446.20 and 143,146.44 is: 214,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,604.88 : 569,446.20 = 143,146.44 : x
  2. Step 2: Convert to fraction form
    379,604.88/569,446.20 = 143,146.44/x
  3. Step 3: Cross multiply
    379,604.88x = 569,446.20 × 143,146.44
  4. Step 4: Simplify right side
    379,604.88x = 81,514,196,301.53
  5. Step 5: Solve for x
    x = 81,514,196,301.53/379,604.88
  6. Step 6: Final answer
    x = 214,734.32

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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.