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Finding the Fourth Proportional to 406,844.40, 610,266.60 and 280,873.20

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Solution

The fourth proportional to 406,844.40, 610,266.60 and 280,873.20 is: 421,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,844.40 : 610,266.60 = 280,873.20 : x
  2. Step 2: Convert to fraction form
    406,844.40/610,266.60 = 280,873.20/x
  3. Step 3: Cross multiply
    406,844.40x = 610,266.60 × 280,873.20
  4. Step 4: Simplify right side
    406,844.40x = 171,407,532,795.12
  5. Step 5: Solve for x
    x = 171,407,532,795.12/406,844.40
  6. Step 6: Final answer
    x = 421,309.80

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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.