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Finding the Fourth Proportional to 278,536.98, 384,697.60 and 187,736.42

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Solution

The fourth proportional to 278,536.98, 384,697.60 and 187,736.42 is: 259,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,536.98 : 384,697.60 = 187,736.42 : x
  2. Step 2: Convert to fraction form
    278,536.98/384,697.60 = 187,736.42/x
  3. Step 3: Cross multiply
    278,536.98x = 384,697.60 × 187,736.42
  4. Step 4: Simplify right side
    278,536.98x = 72,221,750,206.59
  5. Step 5: Solve for x
    x = 72,221,750,206.59/278,536.98
  6. Step 6: Final answer
    x = 259,289.63

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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.