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Finding the Fourth Proportional to 414,275.64, 620,076.96 and 214,320.66

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Solution

The fourth proportional to 414,275.64, 620,076.96 and 214,320.66 is: 320,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,275.64 : 620,076.96 = 214,320.66 : x
  2. Step 2: Convert to fraction form
    414,275.64/620,076.96 = 214,320.66/x
  3. Step 3: Cross multiply
    414,275.64x = 620,076.96 × 214,320.66
  4. Step 4: Simplify right side
    414,275.64x = 132,895,303,317.99
  5. Step 5: Solve for x
    x = 132,895,303,317.99/414,275.64
  6. Step 6: Final answer
    x = 320,789.57

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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.