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Finding the Fourth Proportional to 406,919.20, 610,378.80 and 265,201.60

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Solution

The fourth proportional to 406,919.20, 610,378.80 and 265,201.60 is: 397,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,919.20 : 610,378.80 = 265,201.60 : x
  2. Step 2: Convert to fraction form
    406,919.20/610,378.80 = 265,201.60/x
  3. Step 3: Cross multiply
    406,919.20x = 610,378.80 × 265,201.60
  4. Step 4: Simplify right side
    406,919.20x = 161,873,434,366.08
  5. Step 5: Solve for x
    x = 161,873,434,366.08/406,919.20
  6. Step 6: Final answer
    x = 397,802.40

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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.