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Finding the Fourth Proportional to 315,262.82, 434,949.01 and 242,687.90

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Solution

The fourth proportional to 315,262.82, 434,949.01 and 242,687.90 is: 334,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,262.82 : 434,949.01 = 242,687.90 : x
  2. Step 2: Convert to fraction form
    315,262.82/434,949.01 = 242,687.90/x
  3. Step 3: Cross multiply
    315,262.82x = 434,949.01 × 242,687.90
  4. Step 4: Simplify right side
    315,262.82x = 105,556,861,843.98
  5. Step 5: Solve for x
    x = 105,556,861,843.98/315,262.82
  6. Step 6: Final answer
    x = 334,821.79

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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.