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Finding the Fourth Proportional to 268,930.84, 403,045.98 and 119,214.04

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Solution

The fourth proportional to 268,930.84, 403,045.98 and 119,214.04 is: 178,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,930.84 : 403,045.98 = 119,214.04 : x
  2. Step 2: Convert to fraction form
    268,930.84/403,045.98 = 119,214.04/x
  3. Step 3: Cross multiply
    268,930.84x = 403,045.98 × 119,214.04
  4. Step 4: Simplify right side
    268,930.84x = 48,048,739,581.56
  5. Step 5: Solve for x
    x = 48,048,739,581.56/268,930.84
  6. Step 6: Final answer
    x = 178,665.78

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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.