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Finding the Fourth Proportional to 200,405.42, 276,609.39 and 115,573.58

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Solution

The fourth proportional to 200,405.42, 276,609.39 and 115,573.58 is: 159,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,405.42 : 276,609.39 = 115,573.58 : x
  2. Step 2: Convert to fraction form
    200,405.42/276,609.39 = 115,573.58/x
  3. Step 3: Cross multiply
    200,405.42x = 276,609.39 × 115,573.58
  4. Step 4: Simplify right side
    200,405.42x = 31,968,737,463.92
  5. Step 5: Solve for x
    x = 31,968,737,463.92/200,405.42
  6. Step 6: Final answer
    x = 159,520.32

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1.5x scale

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.