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Finding the Fourth Proportional to 400,506.42, 599,585.94 and 210,519.30

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Solution

The fourth proportional to 400,506.42, 599,585.94 and 210,519.30 is: 315,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,506.42 : 599,585.94 = 210,519.30 : x
  2. Step 2: Convert to fraction form
    400,506.42/599,585.94 = 210,519.30/x
  3. Step 3: Cross multiply
    400,506.42x = 599,585.94 × 210,519.30
  4. Step 4: Simplify right side
    400,506.42x = 126,224,412,378.64
  5. Step 5: Solve for x
    x = 126,224,412,378.64/400,506.42
  6. Step 6: Final answer
    x = 315,162.02

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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.