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Finding the Fourth Proportional to 414,456.43, 621,659.28 and 243,772.53

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Solution

The fourth proportional to 414,456.43, 621,659.28 and 243,772.53 is: 365,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,456.43 : 621,659.28 = 243,772.53 : x
  2. Step 2: Convert to fraction form
    414,456.43/621,659.28 = 243,772.53/x
  3. Step 3: Cross multiply
    414,456.43x = 621,659.28 × 243,772.53
  4. Step 4: Simplify right side
    414,456.43x = 151,543,457,037.73
  5. Step 5: Solve for x
    x = 151,543,457,037.73/414,456.43
  6. Step 6: Final answer
    x = 365,643.88

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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.