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Finding the Fourth Proportional to 210,902.88, 317,821.49 and 190,918.44

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Solution

The fourth proportional to 210,902.88, 317,821.49 and 190,918.44 is: 287,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,902.88 : 317,821.49 = 190,918.44 : x
  2. Step 2: Convert to fraction form
    210,902.88/317,821.49 = 190,918.44/x
  3. Step 3: Cross multiply
    210,902.88x = 317,821.49 × 190,918.44
  4. Step 4: Simplify right side
    210,902.88x = 60,677,983,069.28
  5. Step 5: Solve for x
    x = 60,677,983,069.28/210,902.88
  6. Step 6: Final answer
    x = 287,705.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.