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Finding the Fourth Proportional to 414,179.30, 620,457.03 and 214,630.59

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Solution

The fourth proportional to 414,179.30, 620,457.03 and 214,630.59 is: 321,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,179.30 : 620,457.03 = 214,630.59 : x
  2. Step 2: Convert to fraction form
    414,179.30/620,457.03 = 214,630.59/x
  3. Step 3: Cross multiply
    414,179.30x = 620,457.03 × 214,630.59
  4. Step 4: Simplify right side
    414,179.30x = 133,169,054,243.11
  5. Step 5: Solve for x
    x = 133,169,054,243.11/414,179.30
  6. Step 6: Final answer
    x = 321,525.13

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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.