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Finding the Fourth Proportional to 406,998.30, 610,497.45 and 281,027.10

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Solution

The fourth proportional to 406,998.30, 610,497.45 and 281,027.10 is: 421,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,998.30 : 610,497.45 = 281,027.10 : x
  2. Step 2: Convert to fraction form
    406,998.30/610,497.45 = 281,027.10/x
  3. Step 3: Cross multiply
    406,998.30x = 610,497.45 × 281,027.10
  4. Step 4: Simplify right side
    406,998.30x = 171,566,327,930.90
  5. Step 5: Solve for x
    x = 171,566,327,930.90/406,998.30
  6. Step 6: Final answer
    x = 421,540.65

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Similar ratio
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1.5x scale

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.