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Finding the Fourth Proportional to 270,609.24, 405,949.72 and 99,807.96

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Solution

The fourth proportional to 270,609.24, 405,949.72 and 99,807.96 is: 149,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,609.24 : 405,949.72 = 99,807.96 : x
  2. Step 2: Convert to fraction form
    270,609.24/405,949.72 = 99,807.96/x
  3. Step 3: Cross multiply
    270,609.24x = 405,949.72 × 99,807.96
  4. Step 4: Simplify right side
    270,609.24x = 40,517,013,415.77
  5. Step 5: Solve for x
    x = 40,517,013,415.77/270,609.24
  6. Step 6: Final answer
    x = 149,725.17

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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.