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Finding the Fourth Proportional to 302,908.76, 418,085.36 and 188,274

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Solution

The fourth proportional to 302,908.76, 418,085.36 and 188,274 is: 259,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,908.76 : 418,085.36 = 188,274 : x
  2. Step 2: Convert to fraction form
    302,908.76/418,085.36 = 188,274/x
  3. Step 3: Cross multiply
    302,908.76x = 418,085.36 × 188,274
  4. Step 4: Simplify right side
    302,908.76x = 78,714,603,068.64
  5. Step 5: Solve for x
    x = 78,714,603,068.64/302,908.76
  6. Step 6: Final answer
    x = 259,862.42

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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.