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Finding the Fourth Proportional to 351,657.66, 485,277.45 and 206,461.02

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Solution

The fourth proportional to 351,657.66, 485,277.45 and 206,461.02 is: 284,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,657.66 : 485,277.45 = 206,461.02 : x
  2. Step 2: Convert to fraction form
    351,657.66/485,277.45 = 206,461.02/x
  3. Step 3: Cross multiply
    351,657.66x = 485,277.45 × 206,461.02
  4. Step 4: Simplify right side
    351,657.66x = 100,190,877,310.00
  5. Step 5: Solve for x
    x = 100,190,877,310.00/351,657.66
  6. Step 6: Final answer
    x = 284,910.27

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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.