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Finding the Fourth Proportional to 270,611.24, 405,952.72 and 99,809.96

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Solution

The fourth proportional to 270,611.24, 405,952.72 and 99,809.96 is: 149,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,611.24 : 405,952.72 = 99,809.96 : x
  2. Step 2: Convert to fraction form
    270,611.24/405,952.72 = 99,809.96/x
  3. Step 3: Cross multiply
    270,611.24x = 405,952.72 × 99,809.96
  4. Step 4: Simplify right side
    270,611.24x = 40,518,124,745.09
  5. Step 5: Solve for x
    x = 40,518,124,745.09/270,611.24
  6. Step 6: Final answer
    x = 149,728.17

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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.