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Finding the Fourth Proportional to 270,855.92, 406,353 and 171,720.56

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Solution

The fourth proportional to 270,855.92, 406,353 and 171,720.56 is: 257,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,855.92 : 406,353 = 171,720.56 : x
  2. Step 2: Convert to fraction form
    270,855.92/406,353 = 171,720.56/x
  3. Step 3: Cross multiply
    270,855.92x = 406,353 × 171,720.56
  4. Step 4: Simplify right side
    270,855.92x = 69,779,164,717.68
  5. Step 5: Solve for x
    x = 69,779,164,717.68/270,855.92
  6. Step 6: Final answer
    x = 257,624.66

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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.