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Finding the Fourth Proportional to 309,520.31, 464,384.31 and 119,986.85

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Solution

The fourth proportional to 309,520.31, 464,384.31 and 119,986.85 is: 180,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,520.31 : 464,384.31 = 119,986.85 : x
  2. Step 2: Convert to fraction form
    309,520.31/464,384.31 = 119,986.85/x
  3. Step 3: Cross multiply
    309,520.31x = 464,384.31 × 119,986.85
  4. Step 4: Simplify right side
    309,520.31x = 55,720,011,707.28
  5. Step 5: Solve for x
    x = 55,720,011,707.28/309,520.31
  6. Step 6: Final answer
    x = 180,020.54

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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.