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Finding the Fourth Proportional to 302,911.76, 418,089.50 and 188,277

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Solution

The fourth proportional to 302,911.76, 418,089.50 and 188,277 is: 259,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,911.76 : 418,089.50 = 188,277 : x
  2. Step 2: Convert to fraction form
    302,911.76/418,089.50 = 188,277/x
  3. Step 3: Cross multiply
    302,911.76x = 418,089.50 × 188,277
  4. Step 4: Simplify right side
    302,911.76x = 78,716,636,791.50
  5. Step 5: Solve for x
    x = 78,716,636,791.50/302,911.76
  6. Step 6: Final answer
    x = 259,866.56

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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.