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Finding the Fourth Proportional to 302,909.76, 418,086.74 and 188,275

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Solution

The fourth proportional to 302,909.76, 418,086.74 and 188,275 is: 259,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,909.76 : 418,086.74 = 188,275 : x
  2. Step 2: Convert to fraction form
    302,909.76/418,086.74 = 188,275/x
  3. Step 3: Cross multiply
    302,909.76x = 418,086.74 × 188,275
  4. Step 4: Simplify right side
    302,909.76x = 78,715,280,973.50
  5. Step 5: Solve for x
    x = 78,715,280,973.50/302,909.76
  6. Step 6: Final answer
    x = 259,863.80

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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.