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Finding the Fourth Proportional to 419,838.36, 579,383.04 and 228,851.82

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Solution

The fourth proportional to 419,838.36, 579,383.04 and 228,851.82 is: 315,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,838.36 : 579,383.04 = 228,851.82 : x
  2. Step 2: Convert to fraction form
    419,838.36/579,383.04 = 228,851.82/x
  3. Step 3: Cross multiply
    419,838.36x = 579,383.04 × 228,851.82
  4. Step 4: Simplify right side
    419,838.36x = 132,592,863,181.13
  5. Step 5: Solve for x
    x = 132,592,863,181.13/419,838.36
  6. Step 6: Final answer
    x = 315,818.84

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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.