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Finding the Fourth Proportional to 406,976.20, 610,464.30 and 265,258.60

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Solution

The fourth proportional to 406,976.20, 610,464.30 and 265,258.60 is: 397,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,976.20 : 610,464.30 = 265,258.60 : x
  2. Step 2: Convert to fraction form
    406,976.20/610,464.30 = 265,258.60/x
  3. Step 3: Cross multiply
    406,976.20x = 610,464.30 × 265,258.60
  4. Step 4: Simplify right side
    406,976.20x = 161,930,905,567.98
  5. Step 5: Solve for x
    x = 161,930,905,567.98/406,976.20
  6. Step 6: Final answer
    x = 397,887.90

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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.