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Finding the Fourth Proportional to 225,576, 338,369.40 and 75,818.16

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Solution

The fourth proportional to 225,576, 338,369.40 and 75,818.16 is: 113,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,576 : 338,369.40 = 75,818.16 : x
  2. Step 2: Convert to fraction form
    225,576/338,369.40 = 75,818.16/x
  3. Step 3: Cross multiply
    225,576x = 338,369.40 × 75,818.16
  4. Step 4: Simplify right side
    225,576x = 25,654,545,308.30
  5. Step 5: Solve for x
    x = 25,654,545,308.30/225,576
  6. Step 6: Final answer
    x = 113,729.05

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1.5x scale

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.