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Finding the Fourth Proportional to 406,939.40, 610,466.70 and 126,427.40

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Solution

The fourth proportional to 406,939.40, 610,466.70 and 126,427.40 is: 189,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,939.40 : 610,466.70 = 126,427.40 : x
  2. Step 2: Convert to fraction form
    406,939.40/610,466.70 = 126,427.40/x
  3. Step 3: Cross multiply
    406,939.40x = 610,466.70 × 126,427.40
  4. Step 4: Simplify right side
    406,939.40x = 77,179,717,667.58
  5. Step 5: Solve for x
    x = 77,179,717,667.58/406,939.40
  6. Step 6: Final answer
    x = 189,659.00

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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.