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Finding the Fourth Proportional to 429,647.20, 643,489.14 and 205,164.88

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Solution

The fourth proportional to 429,647.20, 643,489.14 and 205,164.88 is: 307,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,647.20 : 643,489.14 = 205,164.88 : x
  2. Step 2: Convert to fraction form
    429,647.20/643,489.14 = 205,164.88/x
  3. Step 3: Cross multiply
    429,647.20x = 643,489.14 × 205,164.88
  4. Step 4: Simplify right side
    429,647.20x = 132,021,372,189.40
  5. Step 5: Solve for x
    x = 132,021,372,189.40/429,647.20
  6. Step 6: Final answer
    x = 307,278.56

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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.