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Finding the Fourth Proportional to 406,891, 610,336.62 and 126,408.28

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Solution

The fourth proportional to 406,891, 610,336.62 and 126,408.28 is: 189,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,891 : 610,336.62 = 126,408.28 : x
  2. Step 2: Convert to fraction form
    406,891/610,336.62 = 126,408.28/x
  3. Step 3: Cross multiply
    406,891x = 610,336.62 × 126,408.28
  4. Step 4: Simplify right side
    406,891x = 77,151,602,355.21
  5. Step 5: Solve for x
    x = 77,151,602,355.21/406,891
  6. Step 6: Final answer
    x = 189,612.46

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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.