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Finding the Fourth Proportional to 279,732.16, 419,773.24 and 113,520.16

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Solution

The fourth proportional to 279,732.16, 419,773.24 and 113,520.16 is: 170,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,732.16 : 419,773.24 = 113,520.16 : x
  2. Step 2: Convert to fraction form
    279,732.16/419,773.24 = 113,520.16/x
  3. Step 3: Cross multiply
    279,732.16x = 419,773.24 × 113,520.16
  4. Step 4: Simplify right side
    279,732.16x = 47,652,725,368.52
  5. Step 5: Solve for x
    x = 47,652,725,368.52/279,732.16
  6. Step 6: Final answer
    x = 170,351.26

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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.