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Finding the Fourth Proportional to 304,598, 420,286.92 and 197,153.12

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Solution

The fourth proportional to 304,598, 420,286.92 and 197,153.12 is: 272,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,598 : 420,286.92 = 197,153.12 : x
  2. Step 2: Convert to fraction form
    304,598/420,286.92 = 197,153.12/x
  3. Step 3: Cross multiply
    304,598x = 420,286.92 × 197,153.12
  4. Step 4: Simplify right side
    304,598x = 82,860,877,573.19
  5. Step 5: Solve for x
    x = 82,860,877,573.19/304,598
  6. Step 6: Final answer
    x = 272,033.56

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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.