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Finding the Fourth Proportional to 304,604.50, 420,295.86 and 197,159.62

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Solution

The fourth proportional to 304,604.50, 420,295.86 and 197,159.62 is: 272,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,604.50 : 420,295.86 = 197,159.62 : x
  2. Step 2: Convert to fraction form
    304,604.50/420,295.86 = 197,159.62/x
  3. Step 3: Cross multiply
    304,604.50x = 420,295.86 × 197,159.62
  4. Step 4: Simplify right side
    304,604.50x = 82,865,372,045.17
  5. Step 5: Solve for x
    x = 82,865,372,045.17/304,604.50
  6. Step 6: Final answer
    x = 272,042.51

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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.