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Finding the Fourth Proportional to 406,956.48, 609,815.04 and 206,977.20

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Solution

The fourth proportional to 406,956.48, 609,815.04 and 206,977.20 is: 310,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,956.48 : 609,815.04 = 206,977.20 : x
  2. Step 2: Convert to fraction form
    406,956.48/609,815.04 = 206,977.20/x
  3. Step 3: Cross multiply
    406,956.48x = 609,815.04 × 206,977.20
  4. Step 4: Simplify right side
    406,956.48x = 126,217,809,497.09
  5. Step 5: Solve for x
    x = 126,217,809,497.09/406,956.48
  6. Step 6: Final answer
    x = 310,150.63

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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.