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Finding the Fourth Proportional to 285,977.71, 428,969.60 and 86,299.85

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Solution

The fourth proportional to 285,977.71, 428,969.60 and 86,299.85 is: 129,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,977.71 : 428,969.60 = 86,299.85 : x
  2. Step 2: Convert to fraction form
    285,977.71/428,969.60 = 86,299.85/x
  3. Step 3: Cross multiply
    285,977.71x = 428,969.60 × 86,299.85
  4. Step 4: Simplify right side
    285,977.71x = 37,020,012,134.56
  5. Step 5: Solve for x
    x = 37,020,012,134.56/285,977.71
  6. Step 6: Final answer
    x = 129,450.69

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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.