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Finding the Fourth Proportional to 353,818.80, 488,265.12 and 200,855.66

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Solution

The fourth proportional to 353,818.80, 488,265.12 and 200,855.66 is: 277,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,818.80 : 488,265.12 = 200,855.66 : x
  2. Step 2: Convert to fraction form
    353,818.80/488,265.12 = 200,855.66/x
  3. Step 3: Cross multiply
    353,818.80x = 488,265.12 × 200,855.66
  4. Step 4: Simplify right side
    353,818.80x = 98,070,812,932.58
  5. Step 5: Solve for x
    x = 98,070,812,932.58/353,818.80
  6. Step 6: Final answer
    x = 277,178.07

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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.