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Finding the Fourth Proportional to 400,858.10, 601,287.15 and 214,234.10

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Solution

The fourth proportional to 400,858.10, 601,287.15 and 214,234.10 is: 321,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,858.10 : 601,287.15 = 214,234.10 : x
  2. Step 2: Convert to fraction form
    400,858.10/601,287.15 = 214,234.10/x
  3. Step 3: Cross multiply
    400,858.10x = 601,287.15 × 214,234.10
  4. Step 4: Simplify right side
    400,858.10x = 128,816,211,421.82
  5. Step 5: Solve for x
    x = 128,816,211,421.82/400,858.10
  6. Step 6: Final answer
    x = 321,351.15

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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.