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Finding the Fourth Proportional to 419,699.66, 579,185.64 and 228,713.09

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Solution

The fourth proportional to 419,699.66, 579,185.64 and 228,713.09 is: 315,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,699.66 : 579,185.64 = 228,713.09 : x
  2. Step 2: Convert to fraction form
    419,699.66/579,185.64 = 228,713.09/x
  3. Step 3: Cross multiply
    419,699.66x = 579,185.64 × 228,713.09
  4. Step 4: Simplify right side
    419,699.66x = 132,467,334,512.10
  5. Step 5: Solve for x
    x = 132,467,334,512.10/419,699.66
  6. Step 6: Final answer
    x = 315,624.12

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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.