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Finding the Fourth Proportional to 406,183.71, 609,150.81 and 280,630.77

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Solution

The fourth proportional to 406,183.71, 609,150.81 and 280,630.77 is: 420,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,183.71 : 609,150.81 = 280,630.77 : x
  2. Step 2: Convert to fraction form
    406,183.71/609,150.81 = 280,630.77/x
  3. Step 3: Cross multiply
    406,183.71x = 609,150.81 × 280,630.77
  4. Step 4: Simplify right side
    406,183.71x = 170,946,460,856.42
  5. Step 5: Solve for x
    x = 170,946,460,856.42/406,183.71
  6. Step 6: Final answer
    x = 420,859.96

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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.