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Finding the Fourth Proportional to 383,969.87, 575,487.79 and 271,682.51

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Solution

The fourth proportional to 383,969.87, 575,487.79 and 271,682.51 is: 407,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,969.87 : 575,487.79 = 271,682.51 : x
  2. Step 2: Convert to fraction form
    383,969.87/575,487.79 = 271,682.51/x
  3. Step 3: Cross multiply
    383,969.87x = 575,487.79 × 271,682.51
  4. Step 4: Simplify right side
    383,969.87x = 156,349,963,704.91
  5. Step 5: Solve for x
    x = 156,349,963,704.91/383,969.87
  6. Step 6: Final answer
    x = 407,193.31

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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.