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Finding the Fourth Proportional to 406,469.16, 609,735.29 and 122,137.52

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Solution

The fourth proportional to 406,469.16, 609,735.29 and 122,137.52 is: 183,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,469.16 : 609,735.29 = 122,137.52 : x
  2. Step 2: Convert to fraction form
    406,469.16/609,735.29 = 122,137.52/x
  3. Step 3: Cross multiply
    406,469.16x = 609,735.29 × 122,137.52
  4. Step 4: Simplify right side
    406,469.16x = 74,471,552,517.72
  5. Step 5: Solve for x
    x = 74,471,552,517.72/406,469.16
  6. Step 6: Final answer
    x = 183,215.75

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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.