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Finding the Fourth Proportional to 413,825.80, 620,681.10 and 133,371.40

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Solution

The fourth proportional to 413,825.80, 620,681.10 and 133,371.40 is: 200,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,825.80 : 620,681.10 = 133,371.40 : x
  2. Step 2: Convert to fraction form
    413,825.80/620,681.10 = 133,371.40/x
  3. Step 3: Cross multiply
    413,825.80x = 620,681.10 × 133,371.40
  4. Step 4: Simplify right side
    413,825.80x = 82,781,107,260.54
  5. Step 5: Solve for x
    x = 82,781,107,260.54/413,825.80
  6. Step 6: Final answer
    x = 200,038.54

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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.