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Finding the Fourth Proportional to 406,212.67, 609,416.34 and 125,729.92

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Solution

The fourth proportional to 406,212.67, 609,416.34 and 125,729.92 is: 188,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,212.67 : 609,416.34 = 125,729.92 : x
  2. Step 2: Convert to fraction form
    406,212.67/609,416.34 = 125,729.92/x
  3. Step 3: Cross multiply
    406,212.67x = 609,416.34 × 125,729.92
  4. Step 4: Simplify right side
    406,212.67x = 76,621,867,674.89
  5. Step 5: Solve for x
    x = 76,621,867,674.89/406,212.67
  6. Step 6: Final answer
    x = 188,625.01

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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.