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Finding the Fourth Proportional to 415,847.28, 623,847.76 and 131,609.46

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Solution

The fourth proportional to 415,847.28, 623,847.76 and 131,609.46 is: 197,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,847.28 : 623,847.76 = 131,609.46 : x
  2. Step 2: Convert to fraction form
    415,847.28/623,847.76 = 131,609.46/x
  3. Step 3: Cross multiply
    415,847.28x = 623,847.76 × 131,609.46
  4. Step 4: Simplify right side
    415,847.28x = 82,104,266,815.81
  5. Step 5: Solve for x
    x = 82,104,266,815.81/415,847.28
  6. Step 6: Final answer
    x = 197,438.51

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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.