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Finding the Fourth Proportional to 302,919.76, 418,100.56 and 188,285.04

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Solution

The fourth proportional to 302,919.76, 418,100.56 and 188,285.04 is: 259,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,919.76 : 418,100.56 = 188,285.04 : x
  2. Step 2: Convert to fraction form
    302,919.76/418,100.56 = 188,285.04/x
  3. Step 3: Cross multiply
    302,919.76x = 418,100.56 × 188,285.04
  4. Step 4: Simplify right side
    302,919.76x = 78,722,080,663.62
  5. Step 5: Solve for x
    x = 78,722,080,663.62/302,919.76
  6. Step 6: Final answer
    x = 259,877.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.