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Finding the Fourth Proportional to 200,432.36, 300,230.22 and 120,215.94

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Solution

The fourth proportional to 200,432.36, 300,230.22 and 120,215.94 is: 180,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432.36 : 300,230.22 = 120,215.94 : x
  2. Step 2: Convert to fraction form
    200,432.36/300,230.22 = 120,215.94/x
  3. Step 3: Cross multiply
    200,432.36x = 300,230.22 × 120,215.94
  4. Step 4: Simplify right side
    200,432.36x = 36,092,458,113.71
  5. Step 5: Solve for x
    x = 36,092,458,113.71/200,432.36
  6. Step 6: Final answer
    x = 180,073.01

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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.