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Finding the Fourth Proportional to 302,910.76, 418,088.12 and 188,276

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Solution

The fourth proportional to 302,910.76, 418,088.12 and 188,276 is: 259,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,910.76 : 418,088.12 = 188,276 : x
  2. Step 2: Convert to fraction form
    302,910.76/418,088.12 = 188,276/x
  3. Step 3: Cross multiply
    302,910.76x = 418,088.12 × 188,276
  4. Step 4: Simplify right side
    302,910.76x = 78,715,958,881.12
  5. Step 5: Solve for x
    x = 78,715,958,881.12/302,910.76
  6. Step 6: Final answer
    x = 259,865.18

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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.