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Finding the Fourth Proportional to 383,387.82, 575,081.87 and 102,905.07

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Solution

The fourth proportional to 383,387.82, 575,081.87 and 102,905.07 is: 154,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,387.82 : 575,081.87 = 102,905.07 : x
  2. Step 2: Convert to fraction form
    383,387.82/575,081.87 = 102,905.07/x
  3. Step 3: Cross multiply
    383,387.82x = 575,081.87 × 102,905.07
  4. Step 4: Simplify right side
    383,387.82x = 59,178,839,573.56
  5. Step 5: Solve for x
    x = 59,178,839,573.56/383,387.82
  6. Step 6: Final answer
    x = 154,357.64

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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.