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Finding the Fourth Proportional to 279,027.20, 418,495.96 and 76,576

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Solution

The fourth proportional to 279,027.20, 418,495.96 and 76,576 is: 114,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,027.20 : 418,495.96 = 76,576 : x
  2. Step 2: Convert to fraction form
    279,027.20/418,495.96 = 76,576/x
  3. Step 3: Cross multiply
    279,027.20x = 418,495.96 × 76,576
  4. Step 4: Simplify right side
    279,027.20x = 32,046,746,632.96
  5. Step 5: Solve for x
    x = 32,046,746,632.96/279,027.20
  6. Step 6: Final answer
    x = 114,851.69

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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.