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Finding the Fourth Proportional to 382,287.44, 527,563.05 and 210,212.86

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Solution

The fourth proportional to 382,287.44, 527,563.05 and 210,212.86 is: 290,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,287.44 : 527,563.05 = 210,212.86 : x
  2. Step 2: Convert to fraction form
    382,287.44/527,563.05 = 210,212.86/x
  3. Step 3: Cross multiply
    382,287.44x = 527,563.05 × 210,212.86
  4. Step 4: Simplify right side
    382,287.44x = 110,900,537,570.82
  5. Step 5: Solve for x
    x = 110,900,537,570.82/382,287.44
  6. Step 6: Final answer
    x = 290,097.26

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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.