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Finding the Fourth Proportional to 279,021.63, 418,456.41 and 76,569.75

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Solution

The fourth proportional to 279,021.63, 418,456.41 and 76,569.75 is: 114,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,021.63 : 418,456.41 = 76,569.75 : x
  2. Step 2: Convert to fraction form
    279,021.63/418,456.41 = 76,569.75/x
  3. Step 3: Cross multiply
    279,021.63x = 418,456.41 × 76,569.75
  4. Step 4: Simplify right side
    279,021.63x = 32,041,102,699.60
  5. Step 5: Solve for x
    x = 32,041,102,699.60/279,021.63
  6. Step 6: Final answer
    x = 114,833.76

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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.