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Finding the Fourth Proportional to 361,238.28, 541,659.90 and 286,836.36

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Solution

The fourth proportional to 361,238.28, 541,659.90 and 286,836.36 is: 430,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,238.28 : 541,659.90 = 286,836.36 : x
  2. Step 2: Convert to fraction form
    361,238.28/541,659.90 = 286,836.36/x
  3. Step 3: Cross multiply
    361,238.28x = 541,659.90 × 286,836.36
  4. Step 4: Simplify right side
    361,238.28x = 155,367,754,073.96
  5. Step 5: Solve for x
    x = 155,367,754,073.96/361,238.28
  6. Step 6: Final answer
    x = 430,097.70

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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.