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Finding the Fourth Proportional to 287,226, 430,839 and 129,269.88

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Solution

The fourth proportional to 287,226, 430,839 and 129,269.88 is: 193,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,226 : 430,839 = 129,269.88 : x
  2. Step 2: Convert to fraction form
    287,226/430,839 = 129,269.88/x
  3. Step 3: Cross multiply
    287,226x = 430,839 × 129,269.88
  4. Step 4: Simplify right side
    287,226x = 55,694,505,829.32
  5. Step 5: Solve for x
    x = 55,694,505,829.32/287,226
  6. Step 6: Final answer
    x = 193,904.82

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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.