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Finding the Fourth Proportional to 302,957.84, 418,153 and 188,322.96

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Solution

The fourth proportional to 302,957.84, 418,153 and 188,322.96 is: 259,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,957.84 : 418,153 = 188,322.96 : x
  2. Step 2: Convert to fraction form
    302,957.84/418,153 = 188,322.96/x
  3. Step 3: Cross multiply
    302,957.84x = 418,153 × 188,322.96
  4. Step 4: Simplify right side
    302,957.84x = 78,747,810,692.88
  5. Step 5: Solve for x
    x = 78,747,810,692.88/302,957.84
  6. Step 6: Final answer
    x = 259,929.93

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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.