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Finding the Fourth Proportional to 406,722.62, 609,961.10 and 122,337.67

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Solution

The fourth proportional to 406,722.62, 609,961.10 and 122,337.67 is: 183,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,722.62 : 609,961.10 = 122,337.67 : x
  2. Step 2: Convert to fraction form
    406,722.62/609,961.10 = 122,337.67/x
  3. Step 3: Cross multiply
    406,722.62x = 609,961.10 × 122,337.67
  4. Step 4: Simplify right side
    406,722.62x = 74,621,219,764.64
  5. Step 5: Solve for x
    x = 74,621,219,764.64/406,722.62
  6. Step 6: Final answer
    x = 183,469.56

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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.