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Finding the Fourth Proportional to 257,036.09, 384,883.45 and 206,842.01

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Solution

The fourth proportional to 257,036.09, 384,883.45 and 206,842.01 is: 309,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,036.09 : 384,883.45 = 206,842.01 : x
  2. Step 2: Convert to fraction form
    257,036.09/384,883.45 = 206,842.01/x
  3. Step 3: Cross multiply
    257,036.09x = 384,883.45 × 206,842.01
  4. Step 4: Simplify right side
    257,036.09x = 79,610,063,972.21
  5. Step 5: Solve for x
    x = 79,610,063,972.21/257,036.09
  6. Step 6: Final answer
    x = 309,723.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.