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Finding the Fourth Proportional to 257,010, 354,860.88 and 206,301.66

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Solution

The fourth proportional to 257,010, 354,860.88 and 206,301.66 is: 284,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,010 : 354,860.88 = 206,301.66 : x
  2. Step 2: Convert to fraction form
    257,010/354,860.88 = 206,301.66/x
  3. Step 3: Cross multiply
    257,010x = 354,860.88 × 206,301.66
  4. Step 4: Simplify right side
    257,010x = 73,208,388,613.06
  5. Step 5: Solve for x
    x = 73,208,388,613.06/257,010
  6. Step 6: Final answer
    x = 284,846.46

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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.