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Finding the Fourth Proportional to 304,307.08, 419,802.27 and 196,911.82

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Solution

The fourth proportional to 304,307.08, 419,802.27 and 196,911.82 is: 271,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,307.08 : 419,802.27 = 196,911.82 : x
  2. Step 2: Convert to fraction form
    304,307.08/419,802.27 = 196,911.82/x
  3. Step 3: Cross multiply
    304,307.08x = 419,802.27 × 196,911.82
  4. Step 4: Simplify right side
    304,307.08x = 82,664,029,025.83
  5. Step 5: Solve for x
    x = 82,664,029,025.83/304,307.08
  6. Step 6: Final answer
    x = 271,646.75

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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.