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Finding the Fourth Proportional to 414,613.62, 621,918.42 and 161,919.78

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Solution

The fourth proportional to 414,613.62, 621,918.42 and 161,919.78 is: 242,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,613.62 : 621,918.42 = 161,919.78 : x
  2. Step 2: Convert to fraction form
    414,613.62/621,918.42 = 161,919.78/x
  3. Step 3: Cross multiply
    414,613.62x = 621,918.42 × 161,919.78
  4. Step 4: Simplify right side
    414,613.62x = 100,700,893,744.35
  5. Step 5: Solve for x
    x = 100,700,893,744.35/414,613.62
  6. Step 6: Final answer
    x = 242,878.89

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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.