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Finding the Fourth Proportional to 419,469.17, 578,669.40 and 283,550.49

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Solution

The fourth proportional to 419,469.17, 578,669.40 and 283,550.49 is: 391,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,469.17 : 578,669.40 = 283,550.49 : x
  2. Step 2: Convert to fraction form
    419,469.17/578,669.40 = 283,550.49/x
  3. Step 3: Cross multiply
    419,469.17x = 578,669.40 × 283,550.49
  4. Step 4: Simplify right side
    419,469.17x = 164,081,991,918.01
  5. Step 5: Solve for x
    x = 164,081,991,918.01/419,469.17
  6. Step 6: Final answer
    x = 391,165.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.