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Finding the Fourth Proportional to 304,322.86, 419,890.10 and 196,763.47

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Solution

The fourth proportional to 304,322.86, 419,890.10 and 196,763.47 is: 271,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,322.86 : 419,890.10 = 196,763.47 : x
  2. Step 2: Convert to fraction form
    304,322.86/419,890.10 = 196,763.47/x
  3. Step 3: Cross multiply
    304,322.86x = 419,890.10 × 196,763.47
  4. Step 4: Simplify right side
    304,322.86x = 82,619,032,602.74
  5. Step 5: Solve for x
    x = 82,619,032,602.74/304,322.86
  6. Step 6: Final answer
    x = 271,484.80

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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.