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Finding the Fourth Proportional to 406,721.40, 610,427.70 and 327,924.60

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Solution

The fourth proportional to 406,721.40, 610,427.70 and 327,924.60 is: 492,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,721.40 : 610,427.70 = 327,924.60 : x
  2. Step 2: Convert to fraction form
    406,721.40/610,427.70 = 327,924.60/x
  3. Step 3: Cross multiply
    406,721.40x = 610,427.70 × 327,924.60
  4. Step 4: Simplify right side
    406,721.40x = 200,174,259,351.42
  5. Step 5: Solve for x
    x = 200,174,259,351.42/406,721.40
  6. Step 6: Final answer
    x = 492,165.54

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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.