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Finding the Fourth Proportional to 225,495.81, 338,274.75 and 75,778.92

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Solution

The fourth proportional to 225,495.81, 338,274.75 and 75,778.92 is: 113,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,495.81 : 338,274.75 = 75,778.92 : x
  2. Step 2: Convert to fraction form
    225,495.81/338,274.75 = 75,778.92/x
  3. Step 3: Cross multiply
    225,495.81x = 338,274.75 × 75,778.92
  4. Step 4: Simplify right side
    225,495.81x = 25,634,095,218.27
  5. Step 5: Solve for x
    x = 25,634,095,218.27/225,495.81
  6. Step 6: Final answer
    x = 113,678.81

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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.