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Finding the Fourth Proportional to 218,836.33, 328,289.47 and 92,477.78

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Solution

The fourth proportional to 218,836.33, 328,289.47 and 92,477.78 is: 138,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,836.33 : 328,289.47 = 92,477.78 : x
  2. Step 2: Convert to fraction form
    218,836.33/328,289.47 = 92,477.78/x
  3. Step 3: Cross multiply
    218,836.33x = 328,289.47 × 92,477.78
  4. Step 4: Simplify right side
    218,836.33x = 30,359,479,510.33
  5. Step 5: Solve for x
    x = 30,359,479,510.33/218,836.33
  6. Step 6: Final answer
    x = 138,731.44

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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.