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Finding the Fourth Proportional to 269,213.73, 403,899.36 and 79,678.98

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Solution

The fourth proportional to 269,213.73, 403,899.36 and 79,678.98 is: 119,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,213.73 : 403,899.36 = 79,678.98 : x
  2. Step 2: Convert to fraction form
    269,213.73/403,899.36 = 79,678.98/x
  3. Step 3: Cross multiply
    269,213.73x = 403,899.36 × 79,678.98
  4. Step 4: Simplify right side
    269,213.73x = 32,182,289,027.45
  5. Step 5: Solve for x
    x = 32,182,289,027.45/269,213.73
  6. Step 6: Final answer
    x = 119,541.78

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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.