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Finding the Fourth Proportional to 278,403.89, 384,198.59 and 151,079.58

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Solution

The fourth proportional to 278,403.89, 384,198.59 and 151,079.58 is: 208,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,403.89 : 384,198.59 = 151,079.58 : x
  2. Step 2: Convert to fraction form
    278,403.89/384,198.59 = 151,079.58/x
  3. Step 3: Cross multiply
    278,403.89x = 384,198.59 × 151,079.58
  4. Step 4: Simplify right side
    278,403.89x = 58,044,561,991.49
  5. Step 5: Solve for x
    x = 58,044,561,991.49/278,403.89
  6. Step 6: Final answer
    x = 208,490.49

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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.