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Finding the Fourth Proportional to 353,751.30, 488,123.72 and 198,696.64

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Solution

The fourth proportional to 353,751.30, 488,123.72 and 198,696.64 is: 274,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,751.30 : 488,123.72 = 198,696.64 : x
  2. Step 2: Convert to fraction form
    353,751.30/488,123.72 = 198,696.64/x
  3. Step 3: Cross multiply
    353,751.30x = 488,123.72 × 198,696.64
  4. Step 4: Simplify right side
    353,751.30x = 96,988,543,068.30
  5. Step 5: Solve for x
    x = 96,988,543,068.30/353,751.30
  6. Step 6: Final answer
    x = 274,171.55

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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.