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Finding the Fourth Proportional to 544,439.21, 816,824.96 and 278,386.61

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Solution

The fourth proportional to 544,439.21, 816,824.96 and 278,386.61 is: 417,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,439.21 : 816,824.96 = 278,386.61 : x
  2. Step 2: Convert to fraction form
    544,439.21/816,824.96 = 278,386.61/x
  3. Step 3: Cross multiply
    544,439.21x = 816,824.96 × 278,386.61
  4. Step 4: Simplify right side
    544,439.21x = 227,393,127,145.68
  5. Step 5: Solve for x
    x = 227,393,127,145.68/544,439.21
  6. Step 6: Final answer
    x = 417,664.87

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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.