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Finding the Fourth Proportional to 304,732, 420,390.61 and 197,336.62

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Solution

The fourth proportional to 304,732, 420,390.61 and 197,336.62 is: 272,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,732 : 420,390.61 = 197,336.62 : x
  2. Step 2: Convert to fraction form
    304,732/420,390.61 = 197,336.62/x
  3. Step 3: Cross multiply
    304,732x = 420,390.61 × 197,336.62
  4. Step 4: Simplify right side
    304,732x = 82,958,462,057.14
  5. Step 5: Solve for x
    x = 82,958,462,057.14/304,732
  6. Step 6: Final answer
    x = 272,234.17

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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.