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Finding the Fourth Proportional to 287,262, 430,892.69 and 129,305.88

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Solution

The fourth proportional to 287,262, 430,892.69 and 129,305.88 is: 193,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,262 : 430,892.69 = 129,305.88 : x
  2. Step 2: Convert to fraction form
    287,262/430,892.69 = 129,305.88/x
  3. Step 3: Cross multiply
    287,262x = 430,892.69 × 129,305.88
  4. Step 4: Simplify right side
    287,262x = 55,716,957,819.49
  5. Step 5: Solve for x
    x = 55,716,957,819.49/287,262
  6. Step 6: Final answer
    x = 193,958.68

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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.