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Finding the Fourth Proportional to 521,051.64, 781,169.17 and 205,744.56

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Solution

The fourth proportional to 521,051.64, 781,169.17 and 205,744.56 is: 308,455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,051.64 : 781,169.17 = 205,744.56 : x
  2. Step 2: Convert to fraction form
    521,051.64/781,169.17 = 205,744.56/x
  3. Step 3: Cross multiply
    521,051.64x = 781,169.17 × 205,744.56
  4. Step 4: Simplify right side
    521,051.64x = 160,721,307,167.22
  5. Step 5: Solve for x
    x = 160,721,307,167.22/521,051.64
  6. Step 6: Final answer
    x = 308,455.62

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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.