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Finding the Fourth Proportional to 349,328, 482,072.64 and 198,454.16

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Solution

The fourth proportional to 349,328, 482,072.64 and 198,454.16 is: 273,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,328 : 482,072.64 = 198,454.16 : x
  2. Step 2: Convert to fraction form
    349,328/482,072.64 = 198,454.16/x
  3. Step 3: Cross multiply
    349,328x = 482,072.64 × 198,454.16
  4. Step 4: Simplify right side
    349,328x = 95,669,320,830.18
  5. Step 5: Solve for x
    x = 95,669,320,830.18/349,328
  6. Step 6: Final answer
    x = 273,866.74

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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.