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Finding the Fourth Proportional to 380,954.84, 570,930.86 and 212,554.42

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Solution

The fourth proportional to 380,954.84, 570,930.86 and 212,554.42 is: 318,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,954.84 : 570,930.86 = 212,554.42 : x
  2. Step 2: Convert to fraction form
    380,954.84/570,930.86 = 212,554.42/x
  3. Step 3: Cross multiply
    380,954.84x = 570,930.86 × 212,554.42
  4. Step 4: Simplify right side
    380,954.84x = 121,353,876,911.46
  5. Step 5: Solve for x
    x = 121,353,876,911.46/380,954.84
  6. Step 6: Final answer
    x = 318,551.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.