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Finding the Fourth Proportional to 413,581.20, 620,371.80 and 133,098.45

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Solution

The fourth proportional to 413,581.20, 620,371.80 and 133,098.45 is: 199,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,581.20 : 620,371.80 = 133,098.45 : x
  2. Step 2: Convert to fraction form
    413,581.20/620,371.80 = 133,098.45/x
  3. Step 3: Cross multiply
    413,581.20x = 620,371.80 × 133,098.45
  4. Step 4: Simplify right side
    413,581.20x = 82,570,525,003.71
  5. Step 5: Solve for x
    x = 82,570,525,003.71/413,581.20
  6. Step 6: Final answer
    x = 199,647.68

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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.