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Finding the Fourth Proportional to 413,993.95, 620,990.94 and 133,511.20

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Solution

The fourth proportional to 413,993.95, 620,990.94 and 133,511.20 is: 200,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,993.95 : 620,990.94 = 133,511.20 : x
  2. Step 2: Convert to fraction form
    413,993.95/620,990.94 = 133,511.20/x
  3. Step 3: Cross multiply
    413,993.95x = 620,990.94 × 133,511.20
  4. Step 4: Simplify right side
    413,993.95x = 82,909,247,278.79
  5. Step 5: Solve for x
    x = 82,909,247,278.79/413,993.95
  6. Step 6: Final answer
    x = 200,266.81

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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.