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Finding the Fourth Proportional to 413,994.51, 620,991.77 and 133,511.76

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Solution

The fourth proportional to 413,994.51, 620,991.77 and 133,511.76 is: 200,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,994.51 : 620,991.77 = 133,511.76 : x
  2. Step 2: Convert to fraction form
    413,994.51/620,991.77 = 133,511.76/x
  3. Step 3: Cross multiply
    413,994.51x = 620,991.77 × 133,511.76
  4. Step 4: Simplify right side
    413,994.51x = 82,909,703,490.66
  5. Step 5: Solve for x
    x = 82,909,703,490.66/413,994.51
  6. Step 6: Final answer
    x = 200,267.64

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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.