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Finding the Fourth Proportional to 319,399.49, 479,099.24 and 82,742.16

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Solution

The fourth proportional to 319,399.49, 479,099.24 and 82,742.16 is: 124,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,399.49 : 479,099.24 = 82,742.16 : x
  2. Step 2: Convert to fraction form
    319,399.49/479,099.24 = 82,742.16/x
  3. Step 3: Cross multiply
    319,399.49x = 479,099.24 × 82,742.16
  4. Step 4: Simplify right side
    319,399.49x = 39,641,705,558.25
  5. Step 5: Solve for x
    x = 39,641,705,558.25/319,399.49
  6. Step 6: Final answer
    x = 124,113.24

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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.