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Finding the Fourth Proportional to 278,644.92, 384,519.68 and 151,317.78

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Solution

The fourth proportional to 278,644.92, 384,519.68 and 151,317.78 is: 208,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,644.92 : 384,519.68 = 151,317.78 : x
  2. Step 2: Convert to fraction form
    278,644.92/384,519.68 = 151,317.78/x
  3. Step 3: Cross multiply
    278,644.92x = 384,519.68 × 151,317.78
  4. Step 4: Simplify right side
    278,644.92x = 58,184,664,343.91
  5. Step 5: Solve for x
    x = 58,184,664,343.91/278,644.92
  6. Step 6: Final answer
    x = 208,812.94

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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.