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Finding the Fourth Proportional to 287,682.52, 431,621 and 119,283.52

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Solution

The fourth proportional to 287,682.52, 431,621 and 119,283.52 is: 178,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,682.52 : 431,621 = 119,283.52 : x
  2. Step 2: Convert to fraction form
    287,682.52/431,621 = 119,283.52/x
  3. Step 3: Cross multiply
    287,682.52x = 431,621 × 119,283.52
  4. Step 4: Simplify right side
    287,682.52x = 51,485,272,185.92
  5. Step 5: Solve for x
    x = 51,485,272,185.92/287,682.52
  6. Step 6: Final answer
    x = 178,965.59

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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.