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Finding the Fourth Proportional to 389,165.92, 582,696.24 and 201,783.52

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Solution

The fourth proportional to 389,165.92, 582,696.24 and 201,783.52 is: 302,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,165.92 : 582,696.24 = 201,783.52 : x
  2. Step 2: Convert to fraction form
    389,165.92/582,696.24 = 201,783.52/x
  3. Step 3: Cross multiply
    389,165.92x = 582,696.24 × 201,783.52
  4. Step 4: Simplify right side
    389,165.92x = 117,578,498,397.97
  5. Step 5: Solve for x
    x = 117,578,498,397.97/389,165.92
  6. Step 6: Final answer
    x = 302,129.48

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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.