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Finding the Fourth Proportional to 353,354.64, 487,546.95 and 206,156.55

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Solution

The fourth proportional to 353,354.64, 487,546.95 and 206,156.55 is: 284,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,354.64 : 487,546.95 = 206,156.55 : x
  2. Step 2: Convert to fraction form
    353,354.64/487,546.95 = 206,156.55/x
  3. Step 3: Cross multiply
    353,354.64x = 487,546.95 × 206,156.55
  4. Step 4: Simplify right side
    353,354.64x = 100,510,997,537.18
  5. Step 5: Solve for x
    x = 100,510,997,537.18/353,354.64
  6. Step 6: Final answer
    x = 284,447.94

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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.