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Finding the Fourth Proportional to 286,858.20, 430,229.70 and 137,098.20

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Solution

The fourth proportional to 286,858.20, 430,229.70 and 137,098.20 is: 205,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,858.20 : 430,229.70 = 137,098.20 : x
  2. Step 2: Convert to fraction form
    286,858.20/430,229.70 = 137,098.20/x
  3. Step 3: Cross multiply
    286,858.20x = 430,229.70 × 137,098.20
  4. Step 4: Simplify right side
    286,858.20x = 58,983,717,456.54
  5. Step 5: Solve for x
    x = 58,983,717,456.54/286,858.20
  6. Step 6: Final answer
    x = 205,619.77

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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.