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Finding the Fourth Proportional to 396,515.81, 545,808.89 and 342,240.16

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Solution

The fourth proportional to 396,515.81, 545,808.89 and 342,240.16 is: 471,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,515.81 : 545,808.89 = 342,240.16 : x
  2. Step 2: Convert to fraction form
    396,515.81/545,808.89 = 342,240.16/x
  3. Step 3: Cross multiply
    396,515.81x = 545,808.89 × 342,240.16
  4. Step 4: Simplify right side
    396,515.81x = 186,797,721,843.02
  5. Step 5: Solve for x
    x = 186,797,721,843.02/396,515.81
  6. Step 6: Final answer
    x = 471,097.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.