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Finding the Fourth Proportional to 353,817.21, 488,262.94 and 200,854.08

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Solution

The fourth proportional to 353,817.21, 488,262.94 and 200,854.08 is: 277,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,817.21 : 488,262.94 = 200,854.08 : x
  2. Step 2: Convert to fraction form
    353,817.21/488,262.94 = 200,854.08/x
  3. Step 3: Cross multiply
    353,817.21x = 488,262.94 × 200,854.08
  4. Step 4: Simplify right side
    353,817.21x = 98,069,603,109.66
  5. Step 5: Solve for x
    x = 98,069,603,109.66/353,817.21
  6. Step 6: Final answer
    x = 277,175.90

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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.