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Finding the Fourth Proportional to 269,285.68, 403,804.35 and 79,678.24

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Solution

The fourth proportional to 269,285.68, 403,804.35 and 79,678.24 is: 119,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,285.68 : 403,804.35 = 79,678.24 : x
  2. Step 2: Convert to fraction form
    269,285.68/403,804.35 = 79,678.24/x
  3. Step 3: Cross multiply
    269,285.68x = 403,804.35 × 79,678.24
  4. Step 4: Simplify right side
    269,285.68x = 32,174,419,912.34
  5. Step 5: Solve for x
    x = 32,174,419,912.34/269,285.68
  6. Step 6: Final answer
    x = 119,480.62

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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.