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Finding the Fourth Proportional to 345,205.80, 517,145.31 and 211,696.74

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Solution

The fourth proportional to 345,205.80, 517,145.31 and 211,696.74 is: 317,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,205.80 : 517,145.31 = 211,696.74 : x
  2. Step 2: Convert to fraction form
    345,205.80/517,145.31 = 211,696.74/x
  3. Step 3: Cross multiply
    345,205.80x = 517,145.31 × 211,696.74
  4. Step 4: Simplify right side
    345,205.80x = 109,477,976,233.29
  5. Step 5: Solve for x
    x = 109,477,976,233.29/345,205.80
  6. Step 6: Final answer
    x = 317,138.29

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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.