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Finding the Fourth Proportional to 257,013, 354,865.02 and 206,304.66

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Solution

The fourth proportional to 257,013, 354,865.02 and 206,304.66 is: 284,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,013 : 354,865.02 = 206,304.66 : x
  2. Step 2: Convert to fraction form
    257,013/354,865.02 = 206,304.66/x
  3. Step 3: Cross multiply
    257,013x = 354,865.02 × 206,304.66
  4. Step 4: Simplify right side
    257,013x = 73,210,307,296.99
  5. Step 5: Solve for x
    x = 73,210,307,296.99/257,013
  6. Step 6: Final answer
    x = 284,850.60

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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.