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Finding the Fourth Proportional to 349,290, 482,020.20 and 190,314

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Solution

The fourth proportional to 349,290, 482,020.20 and 190,314 is: 262,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,290 : 482,020.20 = 190,314 : x
  2. Step 2: Convert to fraction form
    349,290/482,020.20 = 190,314/x
  3. Step 3: Cross multiply
    349,290x = 482,020.20 × 190,314
  4. Step 4: Simplify right side
    349,290x = 91,735,192,342.80
  5. Step 5: Solve for x
    x = 91,735,192,342.80/349,290
  6. Step 6: Final answer
    x = 262,633.32

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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.