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Finding the Fourth Proportional to 274,930.83, 412,460.64 and 85,381.52

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Solution

The fourth proportional to 274,930.83, 412,460.64 and 85,381.52 is: 128,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,930.83 : 412,460.64 = 85,381.52 : x
  2. Step 2: Convert to fraction form
    274,930.83/412,460.64 = 85,381.52/x
  3. Step 3: Cross multiply
    274,930.83x = 412,460.64 × 85,381.52
  4. Step 4: Simplify right side
    274,930.83x = 35,216,514,321.07
  5. Step 5: Solve for x
    x = 35,216,514,321.07/274,930.83
  6. Step 6: Final answer
    x = 128,092.27

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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.