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Finding the Fourth Proportional to 413,822.60, 620,733.90 and 330,878.60

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Solution

The fourth proportional to 413,822.60, 620,733.90 and 330,878.60 is: 496,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,822.60 : 620,733.90 = 330,878.60 : x
  2. Step 2: Convert to fraction form
    413,822.60/620,733.90 = 330,878.60/x
  3. Step 3: Cross multiply
    413,822.60x = 620,733.90 × 330,878.60
  4. Step 4: Simplify right side
    413,822.60x = 205,387,563,804.54
  5. Step 5: Solve for x
    x = 205,387,563,804.54/413,822.60
  6. Step 6: Final answer
    x = 496,317.90

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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.