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Finding the Fourth Proportional to 378,811.10, 568,202.81 and 112,564.70

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Solution

The fourth proportional to 378,811.10, 568,202.81 and 112,564.70 is: 168,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,811.10 : 568,202.81 = 112,564.70 : x
  2. Step 2: Convert to fraction form
    378,811.10/568,202.81 = 112,564.70/x
  3. Step 3: Cross multiply
    378,811.10x = 568,202.81 × 112,564.70
  4. Step 4: Simplify right side
    378,811.10x = 63,959,575,724.38
  5. Step 5: Solve for x
    x = 63,959,575,724.38/378,811.10
  6. Step 6: Final answer
    x = 168,842.93

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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.