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Finding the Fourth Proportional to 200,512.51, 300,678.89 and 119,497.79

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Solution

The fourth proportional to 200,512.51, 300,678.89 and 119,497.79 is: 179,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,512.51 : 300,678.89 = 119,497.79 : x
  2. Step 2: Convert to fraction form
    200,512.51/300,678.89 = 119,497.79/x
  3. Step 3: Cross multiply
    200,512.51x = 300,678.89 × 119,497.79
  4. Step 4: Simplify right side
    200,512.51x = 35,930,460,753.77
  5. Step 5: Solve for x
    x = 35,930,460,753.77/200,512.51
  6. Step 6: Final answer
    x = 179,193.11

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1.5x scale

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.