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Finding the Fourth Proportional to 413,720.20, 620,753.10 and 133,323.40

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Solution

The fourth proportional to 413,720.20, 620,753.10 and 133,323.40 is: 200,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,720.20 : 620,753.10 = 133,323.40 : x
  2. Step 2: Convert to fraction form
    413,720.20/620,753.10 = 133,323.40/x
  3. Step 3: Cross multiply
    413,720.20x = 620,753.10 × 133,323.40
  4. Step 4: Simplify right side
    413,720.20x = 82,760,913,852.54
  5. Step 5: Solve for x
    x = 82,760,913,852.54/413,720.20
  6. Step 6: Final answer
    x = 200,040.79

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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.