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Finding the Fourth Proportional to 394,942.84, 545,018.58 and 213,654.04

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Solution

The fourth proportional to 394,942.84, 545,018.58 and 213,654.04 is: 294,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,942.84 : 545,018.58 = 213,654.04 : x
  2. Step 2: Convert to fraction form
    394,942.84/545,018.58 = 213,654.04/x
  3. Step 3: Cross multiply
    394,942.84x = 545,018.58 × 213,654.04
  4. Step 4: Simplify right side
    394,942.84x = 116,445,421,492.06
  5. Step 5: Solve for x
    x = 116,445,421,492.06/394,942.84
  6. Step 6: Final answer
    x = 294,841.20

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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.