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Finding the Fourth Proportional to 309,154.58, 463,732.25 and 84,516.96

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Solution

The fourth proportional to 309,154.58, 463,732.25 and 84,516.96 is: 126,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,154.58 : 463,732.25 = 84,516.96 : x
  2. Step 2: Convert to fraction form
    309,154.58/463,732.25 = 84,516.96/x
  3. Step 3: Cross multiply
    309,154.58x = 463,732.25 × 84,516.96
  4. Step 4: Simplify right side
    309,154.58x = 39,193,238,406.60
  5. Step 5: Solve for x
    x = 39,193,238,406.60/309,154.58
  6. Step 6: Final answer
    x = 126,775.54

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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.