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Finding the Fourth Proportional to 413,355.82, 620,033.78 and 129,070.72

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Solution

The fourth proportional to 413,355.82, 620,033.78 and 129,070.72 is: 193,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,355.82 : 620,033.78 = 129,070.72 : x
  2. Step 2: Convert to fraction form
    413,355.82/620,033.78 = 129,070.72/x
  3. Step 3: Cross multiply
    413,355.82x = 620,033.78 × 129,070.72
  4. Step 4: Simplify right side
    413,355.82x = 80,028,206,408.92
  5. Step 5: Solve for x
    x = 80,028,206,408.92/413,355.82
  6. Step 6: Final answer
    x = 193,606.10

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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.