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Finding the Fourth Proportional to 413,829.73, 620,740 and 291,747.70

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Solution

The fourth proportional to 413,829.73, 620,740 and 291,747.70 is: 437,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,829.73 : 620,740 = 291,747.70 : x
  2. Step 2: Convert to fraction form
    413,829.73/620,740 = 291,747.70/x
  3. Step 3: Cross multiply
    413,829.73x = 620,740 × 291,747.70
  4. Step 4: Simplify right side
    413,829.73x = 181,099,467,298
  5. Step 5: Solve for x
    x = 181,099,467,298/413,829.73
  6. Step 6: Final answer
    x = 437,618.31

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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.