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Finding the Fourth Proportional to 345,514.97, 476,826.89 and 202,321.14

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Solution

The fourth proportional to 345,514.97, 476,826.89 and 202,321.14 is: 279,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,514.97 : 476,826.89 = 202,321.14 : x
  2. Step 2: Convert to fraction form
    345,514.97/476,826.89 = 202,321.14/x
  3. Step 3: Cross multiply
    345,514.97x = 476,826.89 × 202,321.14
  4. Step 4: Simplify right side
    345,514.97x = 96,472,159,967.45
  5. Step 5: Solve for x
    x = 96,472,159,967.45/345,514.97
  6. Step 6: Final answer
    x = 279,212.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.