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Finding the Fourth Proportional to 270,487.38, 405,467.40 and 112,760.94

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Solution

The fourth proportional to 270,487.38, 405,467.40 and 112,760.94 is: 169,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,487.38 : 405,467.40 = 112,760.94 : x
  2. Step 2: Convert to fraction form
    270,487.38/405,467.40 = 112,760.94/x
  3. Step 3: Cross multiply
    270,487.38x = 405,467.40 × 112,760.94
  4. Step 4: Simplify right side
    270,487.38x = 45,720,883,136.02
  5. Step 5: Solve for x
    x = 45,720,883,136.02/270,487.38
  6. Step 6: Final answer
    x = 169,031.49

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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.