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Finding the Fourth Proportional to 406,905.90, 610,416.45 and 126,393.90

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Solution

The fourth proportional to 406,905.90, 610,416.45 and 126,393.90 is: 189,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,905.90 : 610,416.45 = 126,393.90 : x
  2. Step 2: Convert to fraction form
    406,905.90/610,416.45 = 126,393.90/x
  3. Step 3: Cross multiply
    406,905.90x = 610,416.45 × 126,393.90
  4. Step 4: Simplify right side
    406,905.90x = 77,152,915,739.66
  5. Step 5: Solve for x
    x = 77,152,915,739.66/406,905.90
  6. Step 6: Final answer
    x = 189,608.74

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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.