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Finding the Fourth Proportional to 378,045.70, 567,122.55 and 111,771.70

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Solution

The fourth proportional to 378,045.70, 567,122.55 and 111,771.70 is: 167,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,045.70 : 567,122.55 = 111,771.70 : x
  2. Step 2: Convert to fraction form
    378,045.70/567,122.55 = 111,771.70/x
  3. Step 3: Cross multiply
    378,045.70x = 567,122.55 × 111,771.70
  4. Step 4: Simplify right side
    378,045.70x = 63,388,251,521.84
  5. Step 5: Solve for x
    x = 63,388,251,521.84/378,045.70
  6. Step 6: Final answer
    x = 167,673.52

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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.