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Finding the Fourth Proportional to 355,677.84, 491,013.72 and 274,922.64

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Solution

The fourth proportional to 355,677.84, 491,013.72 and 274,922.64 is: 379,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,677.84 : 491,013.72 = 274,922.64 : x
  2. Step 2: Convert to fraction form
    355,677.84/491,013.72 = 274,922.64/x
  3. Step 3: Cross multiply
    355,677.84x = 491,013.72 × 274,922.64
  4. Step 4: Simplify right side
    355,677.84x = 134,990,788,178.62
  5. Step 5: Solve for x
    x = 134,990,788,178.62/355,677.84
  6. Step 6: Final answer
    x = 379,531.06

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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.