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Finding the Fourth Proportional to 349,329, 482,074.02 and 198,455.16

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Solution

The fourth proportional to 349,329, 482,074.02 and 198,455.16 is: 273,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,329 : 482,074.02 = 198,455.16 : x
  2. Step 2: Convert to fraction form
    349,329/482,074.02 = 198,455.16/x
  3. Step 3: Cross multiply
    349,329x = 482,074.02 × 198,455.16
  4. Step 4: Simplify right side
    349,329x = 95,670,076,770.94
  5. Step 5: Solve for x
    x = 95,670,076,770.94/349,329
  6. Step 6: Final answer
    x = 273,868.12

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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.