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Finding the Fourth Proportional to 315,983.20, 436,062 and 188,669.92

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Solution

The fourth proportional to 315,983.20, 436,062 and 188,669.92 is: 260,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,983.20 : 436,062 = 188,669.92 : x
  2. Step 2: Convert to fraction form
    315,983.20/436,062 = 188,669.92/x
  3. Step 3: Cross multiply
    315,983.20x = 436,062 × 188,669.92
  4. Step 4: Simplify right side
    315,983.20x = 82,271,782,655.04
  5. Step 5: Solve for x
    x = 82,271,782,655.04/315,983.20
  6. Step 6: Final answer
    x = 260,367.58

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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.